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Finding the Fourth Proportional to 8,562.90, 12,846.15 and 4,862.10

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Solution

The fourth proportional to 8,562.90, 12,846.15 and 4,862.10 is: 7,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.90 : 12,846.15 = 4,862.10 : x
  2. Step 2: Convert to fraction form
    8,562.90/12,846.15 = 4,862.10/x
  3. Step 3: Cross multiply
    8,562.90x = 12,846.15 × 4,862.10
  4. Step 4: Simplify right side
    8,562.90x = 62,459,265.92
  5. Step 5: Solve for x
    x = 62,459,265.92/8,562.90
  6. Step 6: Final answer
    x = 7,294.17

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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.