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Finding the Fourth Proportional to 9,641.84, 14,471.66 and 5,951.27

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Solution

The fourth proportional to 9,641.84, 14,471.66 and 5,951.27 is: 8,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.84 : 14,471.66 = 5,951.27 : x
  2. Step 2: Convert to fraction form
    9,641.84/14,471.66 = 5,951.27/x
  3. Step 3: Cross multiply
    9,641.84x = 14,471.66 × 5,951.27
  4. Step 4: Simplify right side
    9,641.84x = 86,124,807.07
  5. Step 5: Solve for x
    x = 86,124,807.07/9,641.84
  6. Step 6: Final answer
    x = 8,932.41

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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.