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Finding the Fourth Proportional to 9,802.01, 13,517.55 and 7,560.34

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Solution

The fourth proportional to 9,802.01, 13,517.55 and 7,560.34 is: 10,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.01 : 13,517.55 = 7,560.34 : x
  2. Step 2: Convert to fraction form
    9,802.01/13,517.55 = 7,560.34/x
  3. Step 3: Cross multiply
    9,802.01x = 13,517.55 × 7,560.34
  4. Step 4: Simplify right side
    9,802.01x = 102,197,273.97
  5. Step 5: Solve for x
    x = 102,197,273.97/9,802.01
  6. Step 6: Final answer
    x = 10,426.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.