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Finding the Fourth Proportional to 10,073.89, 13,901.89 and 5,597.56

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Solution

The fourth proportional to 10,073.89, 13,901.89 and 5,597.56 is: 7,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.89 : 13,901.89 = 5,597.56 : x
  2. Step 2: Convert to fraction form
    10,073.89/13,901.89 = 5,597.56/x
  3. Step 3: Cross multiply
    10,073.89x = 13,901.89 × 5,597.56
  4. Step 4: Simplify right side
    10,073.89x = 77,816,663.39
  5. Step 5: Solve for x
    x = 77,816,663.39/10,073.89
  6. Step 6: Final answer
    x = 7,724.59

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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.