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Finding the Fourth Proportional to 8,377.57, 12,567.57 and 2,534.68

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Solution

The fourth proportional to 8,377.57, 12,567.57 and 2,534.68 is: 3,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.57 : 12,567.57 = 2,534.68 : x
  2. Step 2: Convert to fraction form
    8,377.57/12,567.57 = 2,534.68/x
  3. Step 3: Cross multiply
    8,377.57x = 12,567.57 × 2,534.68
  4. Step 4: Simplify right side
    8,377.57x = 31,854,768.33
  5. Step 5: Solve for x
    x = 31,854,768.33/8,377.57
  6. Step 6: Final answer
    x = 3,802.39

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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.