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Finding the Fourth Proportional to 9,452.92, 13,042.79 and 7,946.21

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Solution

The fourth proportional to 9,452.92, 13,042.79 and 7,946.21 is: 10,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.92 : 13,042.79 = 7,946.21 : x
  2. Step 2: Convert to fraction form
    9,452.92/13,042.79 = 7,946.21/x
  3. Step 3: Cross multiply
    9,452.92x = 13,042.79 × 7,946.21
  4. Step 4: Simplify right side
    9,452.92x = 103,640,683.11
  5. Step 5: Solve for x
    x = 103,640,683.11/9,452.92
  6. Step 6: Final answer
    x = 10,963.89

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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.