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Finding the Fourth Proportional to 12,817.87, 17,686.53 and 8,562.11

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Solution

The fourth proportional to 12,817.87, 17,686.53 and 8,562.11 is: 11,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.87 : 17,686.53 = 8,562.11 : x
  2. Step 2: Convert to fraction form
    12,817.87/17,686.53 = 8,562.11/x
  3. Step 3: Cross multiply
    12,817.87x = 17,686.53 × 8,562.11
  4. Step 4: Simplify right side
    12,817.87x = 151,433,926.95
  5. Step 5: Solve for x
    x = 151,433,926.95/12,817.87
  6. Step 6: Final answer
    x = 11,814.28

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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.