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Finding the Fourth Proportional to 9,923.28, 14,816.84 and 8,461.68

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Solution

The fourth proportional to 9,923.28, 14,816.84 and 8,461.68 is: 12,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.28 : 14,816.84 = 8,461.68 : x
  2. Step 2: Convert to fraction form
    9,923.28/14,816.84 = 8,461.68/x
  3. Step 3: Cross multiply
    9,923.28x = 14,816.84 × 8,461.68
  4. Step 4: Simplify right side
    9,923.28x = 125,375,358.69
  5. Step 5: Solve for x
    x = 125,375,358.69/9,923.28
  6. Step 6: Final answer
    x = 12,634.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.