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Finding the Fourth Proportional to 8,354.64, 11,524.68 and 7,508.96

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Solution

The fourth proportional to 8,354.64, 11,524.68 and 7,508.96 is: 10,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.64 : 11,524.68 = 7,508.96 : x
  2. Step 2: Convert to fraction form
    8,354.64/11,524.68 = 7,508.96/x
  3. Step 3: Cross multiply
    8,354.64x = 11,524.68 × 7,508.96
  4. Step 4: Simplify right side
    8,354.64x = 86,538,361.13
  5. Step 5: Solve for x
    x = 86,538,361.13/8,354.64
  6. Step 6: Final answer
    x = 10,358.12

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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.