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Finding the Fourth Proportional to 8,341.84, 12,523.80 and 7,654.24

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Solution

The fourth proportional to 8,341.84, 12,523.80 and 7,654.24 is: 11,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.84 : 12,523.80 = 7,654.24 : x
  2. Step 2: Convert to fraction form
    8,341.84/12,523.80 = 7,654.24/x
  3. Step 3: Cross multiply
    8,341.84x = 12,523.80 × 7,654.24
  4. Step 4: Simplify right side
    8,341.84x = 95,860,170.91
  5. Step 5: Solve for x
    x = 95,860,170.91/8,341.84
  6. Step 6: Final answer
    x = 11,491.49

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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.