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Finding the Fourth Proportional to 22,648.40, 33,947.16 and 10,646.48

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Solution

The fourth proportional to 22,648.40, 33,947.16 and 10,646.48 is: 15,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.40 : 33,947.16 = 10,646.48 : x
  2. Step 2: Convert to fraction form
    22,648.40/33,947.16 = 10,646.48/x
  3. Step 3: Cross multiply
    22,648.40x = 33,947.16 × 10,646.48
  4. Step 4: Simplify right side
    22,648.40x = 361,417,760.00
  5. Step 5: Solve for x
    x = 361,417,760.00/22,648.40
  6. Step 6: Final answer
    x = 15,957.76

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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.