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Finding the Fourth Proportional to 7,230.60, 9,966.69 and 5,902.02

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Solution

The fourth proportional to 7,230.60, 9,966.69 and 5,902.02 is: 8,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.60 : 9,966.69 = 5,902.02 : x
  2. Step 2: Convert to fraction form
    7,230.60/9,966.69 = 5,902.02/x
  3. Step 3: Cross multiply
    7,230.60x = 9,966.69 × 5,902.02
  4. Step 4: Simplify right side
    7,230.60x = 58,823,603.71
  5. Step 5: Solve for x
    x = 58,823,603.71/7,230.60
  6. Step 6: Final answer
    x = 8,135.37

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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.