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Finding the Fourth Proportional to 10,854.88, 16,284.54 and 4,614.88

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Solution

The fourth proportional to 10,854.88, 16,284.54 and 4,614.88 is: 6,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.88 : 16,284.54 = 4,614.88 : x
  2. Step 2: Convert to fraction form
    10,854.88/16,284.54 = 4,614.88/x
  3. Step 3: Cross multiply
    10,854.88x = 16,284.54 × 4,614.88
  4. Step 4: Simplify right side
    10,854.88x = 75,151,197.96
  5. Step 5: Solve for x
    x = 75,151,197.96/10,854.88
  6. Step 6: Final answer
    x = 6,923.26

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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.