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Finding the Fourth Proportional to 9,801.84, 13,517.38 and 7,560.17

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Solution

The fourth proportional to 9,801.84, 13,517.38 and 7,560.17 is: 10,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.84 : 13,517.38 = 7,560.17 : x
  2. Step 2: Convert to fraction form
    9,801.84/13,517.38 = 7,560.17/x
  3. Step 3: Cross multiply
    9,801.84x = 13,517.38 × 7,560.17
  4. Step 4: Simplify right side
    9,801.84x = 102,193,683.31
  5. Step 5: Solve for x
    x = 102,193,683.31/9,801.84
  6. Step 6: Final answer
    x = 10,425.97

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Half scale
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Double scale
Find fourth proportional to 9,802.84, 13,518.76 and 7,561.17
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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.