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Finding the Fourth Proportional to 14,686.20, 20,266.98 and 7,971.83

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Solution

The fourth proportional to 14,686.20, 20,266.98 and 7,971.83 is: 11,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.20 : 20,266.98 = 7,971.83 : x
  2. Step 2: Convert to fraction form
    14,686.20/20,266.98 = 7,971.83/x
  3. Step 3: Cross multiply
    14,686.20x = 20,266.98 × 7,971.83
  4. Step 4: Simplify right side
    14,686.20x = 161,564,919.17
  5. Step 5: Solve for x
    x = 161,564,919.17/14,686.20
  6. Step 6: Final answer
    x = 11,001.14

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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.