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Finding the Fourth Proportional to 10,073.70, 13,902.02 and 5,597.80

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Solution

The fourth proportional to 10,073.70, 13,902.02 and 5,597.80 is: 7,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.70 : 13,902.02 = 5,597.80 : x
  2. Step 2: Convert to fraction form
    10,073.70/13,902.02 = 5,597.80/x
  3. Step 3: Cross multiply
    10,073.70x = 13,902.02 × 5,597.80
  4. Step 4: Simplify right side
    10,073.70x = 77,820,727.56
  5. Step 5: Solve for x
    x = 77,820,727.56/10,073.70
  6. Step 6: Final answer
    x = 7,725.14

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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.