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Finding the Fourth Proportional to 15,661.50, 21,614.34 and 8,947.16

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Solution

The fourth proportional to 15,661.50, 21,614.34 and 8,947.16 is: 12,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,661.50 : 21,614.34 = 8,947.16 : x
  2. Step 2: Convert to fraction form
    15,661.50/21,614.34 = 8,947.16/x
  3. Step 3: Cross multiply
    15,661.50x = 21,614.34 × 8,947.16
  4. Step 4: Simplify right side
    15,661.50x = 193,386,964.81
  5. Step 5: Solve for x
    x = 193,386,964.81/15,661.50
  6. Step 6: Final answer
    x = 12,347.92

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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.