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Finding the Fourth Proportional to 10,442.76, 15,646.82 and 7,516.68

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Solution

The fourth proportional to 10,442.76, 15,646.82 and 7,516.68 is: 11,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.76 : 15,646.82 = 7,516.68 : x
  2. Step 2: Convert to fraction form
    10,442.76/15,646.82 = 7,516.68/x
  3. Step 3: Cross multiply
    10,442.76x = 15,646.82 × 7,516.68
  4. Step 4: Simplify right side
    10,442.76x = 117,612,138.96
  5. Step 5: Solve for x
    x = 117,612,138.96/10,442.76
  6. Step 6: Final answer
    x = 11,262.55

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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.