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Finding the Fourth Proportional to 9,488.52, 14,229.06 and 4,560.48

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Solution

The fourth proportional to 9,488.52, 14,229.06 and 4,560.48 is: 6,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.52 : 14,229.06 = 4,560.48 : x
  2. Step 2: Convert to fraction form
    9,488.52/14,229.06 = 4,560.48/x
  3. Step 3: Cross multiply
    9,488.52x = 14,229.06 × 4,560.48
  4. Step 4: Simplify right side
    9,488.52x = 64,891,343.55
  5. Step 5: Solve for x
    x = 64,891,343.55/9,488.52
  6. Step 6: Final answer
    x = 6,838.93

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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.