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Finding the Fourth Proportional to 9,148.52, 12,612.03 and 6,494.96

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Solution

The fourth proportional to 9,148.52, 12,612.03 and 6,494.96 is: 8,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.52 : 12,612.03 = 6,494.96 : x
  2. Step 2: Convert to fraction form
    9,148.52/12,612.03 = 6,494.96/x
  3. Step 3: Cross multiply
    9,148.52x = 12,612.03 × 6,494.96
  4. Step 4: Simplify right side
    9,148.52x = 81,914,630.37
  5. Step 5: Solve for x
    x = 81,914,630.37/9,148.52
  6. Step 6: Final answer
    x = 8,953.87

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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.