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Finding the Fourth Proportional to 9,839.64, 14,774.24 and 8,467.92

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Solution

The fourth proportional to 9,839.64, 14,774.24 and 8,467.92 is: 12,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.64 : 14,774.24 = 8,467.92 : x
  2. Step 2: Convert to fraction form
    9,839.64/14,774.24 = 8,467.92/x
  3. Step 3: Cross multiply
    9,839.64x = 14,774.24 × 8,467.92
  4. Step 4: Simplify right side
    9,839.64x = 125,107,082.38
  5. Step 5: Solve for x
    x = 125,107,082.38/9,839.64
  6. Step 6: Final answer
    x = 12,714.60

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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.