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Finding the Fourth Proportional to 10,472.40, 14,452.20 and 6,495.48

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Solution

The fourth proportional to 10,472.40, 14,452.20 and 6,495.48 is: 8,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.40 : 14,452.20 = 6,495.48 : x
  2. Step 2: Convert to fraction form
    10,472.40/14,452.20 = 6,495.48/x
  3. Step 3: Cross multiply
    10,472.40x = 14,452.20 × 6,495.48
  4. Step 4: Simplify right side
    10,472.40x = 93,873,976.06
  5. Step 5: Solve for x
    x = 93,873,976.06/10,472.40
  6. Step 6: Final answer
    x = 8,963.94

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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.