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Finding the Fourth Proportional to 9,178.92, 12,666.84 and 4,987.20

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Solution

The fourth proportional to 9,178.92, 12,666.84 and 4,987.20 is: 6,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.92 : 12,666.84 = 4,987.20 : x
  2. Step 2: Convert to fraction form
    9,178.92/12,666.84 = 4,987.20/x
  3. Step 3: Cross multiply
    9,178.92x = 12,666.84 × 4,987.20
  4. Step 4: Simplify right side
    9,178.92x = 63,172,064.45
  5. Step 5: Solve for x
    x = 63,172,064.45/9,178.92
  6. Step 6: Final answer
    x = 6,882.30

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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.