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Finding the Fourth Proportional to 14,661.52, 20,233.16 and 7,947.28

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Solution

The fourth proportional to 14,661.52, 20,233.16 and 7,947.28 is: 10,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.52 : 20,233.16 = 7,947.28 : x
  2. Step 2: Convert to fraction form
    14,661.52/20,233.16 = 7,947.28/x
  3. Step 3: Cross multiply
    14,661.52x = 20,233.16 × 7,947.28
  4. Step 4: Simplify right side
    14,661.52x = 160,798,587.80
  5. Step 5: Solve for x
    x = 160,798,587.80/14,661.52
  6. Step 6: Final answer
    x = 10,967.39

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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.