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Finding the Fourth Proportional to 10,073.60, 13,901.22 and 5,597.54

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Solution

The fourth proportional to 10,073.60, 13,901.22 and 5,597.54 is: 7,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.60 : 13,901.22 = 5,597.54 : x
  2. Step 2: Convert to fraction form
    10,073.60/13,901.22 = 5,597.54/x
  3. Step 3: Cross multiply
    10,073.60x = 13,901.22 × 5,597.54
  4. Step 4: Simplify right side
    10,073.60x = 77,812,617.62
  5. Step 5: Solve for x
    x = 77,812,617.62/10,073.60
  6. Step 6: Final answer
    x = 7,724.41

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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.