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Finding the Fourth Proportional to 10,464.16, 15,680.88 and 5,262.88

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Solution

The fourth proportional to 10,464.16, 15,680.88 and 5,262.88 is: 7,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.16 : 15,680.88 = 5,262.88 : x
  2. Step 2: Convert to fraction form
    10,464.16/15,680.88 = 5,262.88/x
  3. Step 3: Cross multiply
    10,464.16x = 15,680.88 × 5,262.88
  4. Step 4: Simplify right side
    10,464.16x = 82,526,589.73
  5. Step 5: Solve for x
    x = 82,526,589.73/10,464.16
  6. Step 6: Final answer
    x = 7,886.59

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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.