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Finding the Fourth Proportional to 9,800.09, 13,523.74 and 5,323.74

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Solution

The fourth proportional to 9,800.09, 13,523.74 and 5,323.74 is: 7,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.09 : 13,523.74 = 5,323.74 : x
  2. Step 2: Convert to fraction form
    9,800.09/13,523.74 = 5,323.74/x
  3. Step 3: Cross multiply
    9,800.09x = 13,523.74 × 5,323.74
  4. Step 4: Simplify right side
    9,800.09x = 71,996,875.59
  5. Step 5: Solve for x
    x = 71,996,875.59/9,800.09
  6. Step 6: Final answer
    x = 7,346.55

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Half 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.