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Finding the Fourth Proportional to 16,566.81, 22,862.83 and 9,494.60

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Solution

The fourth proportional to 16,566.81, 22,862.83 and 9,494.60 is: 13,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.81 : 22,862.83 = 9,494.60 : x
  2. Step 2: Convert to fraction form
    16,566.81/22,862.83 = 9,494.60/x
  3. Step 3: Cross multiply
    16,566.81x = 22,862.83 × 9,494.60
  4. Step 4: Simplify right side
    16,566.81x = 217,073,263.93
  5. Step 5: Solve for x
    x = 217,073,263.93/16,566.81
  6. Step 6: Final answer
    x = 13,102.90

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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.