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Finding the Fourth Proportional to 9,882.32, 14,810.74 and 7,397.68

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Solution

The fourth proportional to 9,882.32, 14,810.74 and 7,397.68 is: 11,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.32 : 14,810.74 = 7,397.68 : x
  2. Step 2: Convert to fraction form
    9,882.32/14,810.74 = 7,397.68/x
  3. Step 3: Cross multiply
    9,882.32x = 14,810.74 × 7,397.68
  4. Step 4: Simplify right side
    9,882.32x = 109,565,115.08
  5. Step 5: Solve for x
    x = 109,565,115.08/9,882.32
  6. Step 6: Final answer
    x = 11,086.98

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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.