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Finding the Fourth Proportional to 11,632.71, 16,052.95 and 6,458.41

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Solution

The fourth proportional to 11,632.71, 16,052.95 and 6,458.41 is: 8,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.71 : 16,052.95 = 6,458.41 : x
  2. Step 2: Convert to fraction form
    11,632.71/16,052.95 = 6,458.41/x
  3. Step 3: Cross multiply
    11,632.71x = 16,052.95 × 6,458.41
  4. Step 4: Simplify right side
    11,632.71x = 103,676,476.53
  5. Step 5: Solve for x
    x = 103,676,476.53/11,632.71
  6. Step 6: Final answer
    x = 8,912.50

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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.