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Finding the Fourth Proportional to 9,294.12, 12,837.24 and 6,946.68

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Solution

The fourth proportional to 9,294.12, 12,837.24 and 6,946.68 is: 9,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.12 : 12,837.24 = 6,946.68 : x
  2. Step 2: Convert to fraction form
    9,294.12/12,837.24 = 6,946.68/x
  3. Step 3: Cross multiply
    9,294.12x = 12,837.24 × 6,946.68
  4. Step 4: Simplify right side
    9,294.12x = 89,176,198.36
  5. Step 5: Solve for x
    x = 89,176,198.36/9,294.12
  6. Step 6: Final answer
    x = 9,594.90

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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.