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Finding the Fourth Proportional to 8,374.80, 12,564.12 and 4,675.20

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Solution

The fourth proportional to 8,374.80, 12,564.12 and 4,675.20 is: 7,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.80 : 12,564.12 = 4,675.20 : x
  2. Step 2: Convert to fraction form
    8,374.80/12,564.12 = 4,675.20/x
  3. Step 3: Cross multiply
    8,374.80x = 12,564.12 × 4,675.20
  4. Step 4: Simplify right side
    8,374.80x = 58,739,773.82
  5. Step 5: Solve for x
    x = 58,739,773.82/8,374.80
  6. Step 6: Final answer
    x = 7,013.87

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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.