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Finding the Fourth Proportional to 32,906.28, 49,347.88 and 9,207.46

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Solution

The fourth proportional to 32,906.28, 49,347.88 and 9,207.46 is: 13,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.28 : 49,347.88 = 9,207.46 : x
  2. Step 2: Convert to fraction form
    32,906.28/49,347.88 = 9,207.46/x
  3. Step 3: Cross multiply
    32,906.28x = 49,347.88 × 9,207.46
  4. Step 4: Simplify right side
    32,906.28x = 454,368,585.15
  5. Step 5: Solve for x
    x = 454,368,585.15/32,906.28
  6. Step 6: Final answer
    x = 13,807.96

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1.5x scale

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.