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Finding the Fourth Proportional to 8,843.31, 12,214.40 and 7,678.94

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Solution

The fourth proportional to 8,843.31, 12,214.40 and 7,678.94 is: 10,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.31 : 12,214.40 = 7,678.94 : x
  2. Step 2: Convert to fraction form
    8,843.31/12,214.40 = 7,678.94/x
  3. Step 3: Cross multiply
    8,843.31x = 12,214.40 × 7,678.94
  4. Step 4: Simplify right side
    8,843.31x = 93,793,545.27
  5. Step 5: Solve for x
    x = 93,793,545.27/8,843.31
  6. Step 6: Final answer
    x = 10,606.16

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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.