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Finding the Fourth Proportional to 8,677.98, 12,927.42 and 8,140.14

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Solution

The fourth proportional to 8,677.98, 12,927.42 and 8,140.14 is: 12,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.98 : 12,927.42 = 8,140.14 : x
  2. Step 2: Convert to fraction form
    8,677.98/12,927.42 = 8,140.14/x
  3. Step 3: Cross multiply
    8,677.98x = 12,927.42 × 8,140.14
  4. Step 4: Simplify right side
    8,677.98x = 105,231,008.64
  5. Step 5: Solve for x
    x = 105,231,008.64/8,677.98
  6. Step 6: Final answer
    x = 12,126.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.