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Finding the Fourth Proportional to 7,332.62, 10,977.04 and 5,140.14

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Solution

The fourth proportional to 7,332.62, 10,977.04 and 5,140.14 is: 7,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.62 : 10,977.04 = 5,140.14 : x
  2. Step 2: Convert to fraction form
    7,332.62/10,977.04 = 5,140.14/x
  3. Step 3: Cross multiply
    7,332.62x = 10,977.04 × 5,140.14
  4. Step 4: Simplify right side
    7,332.62x = 56,423,522.39
  5. Step 5: Solve for x
    x = 56,423,522.39/7,332.62
  6. Step 6: Final answer
    x = 7,694.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.