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Finding the Fourth Proportional to 14,862.76, 22,282.62 and 6,649

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Solution

The fourth proportional to 14,862.76, 22,282.62 and 6,649 is: 9,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.76 : 22,282.62 = 6,649 : x
  2. Step 2: Convert to fraction form
    14,862.76/22,282.62 = 6,649/x
  3. Step 3: Cross multiply
    14,862.76x = 22,282.62 × 6,649
  4. Step 4: Simplify right side
    14,862.76x = 148,157,140.38
  5. Step 5: Solve for x
    x = 148,157,140.38/14,862.76
  6. Step 6: Final answer
    x = 9,968.35

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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.