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Finding the Fourth Proportional to 10,689.48, 14,752.38 and 5,974.20

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Solution

The fourth proportional to 10,689.48, 14,752.38 and 5,974.20 is: 8,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.48 : 14,752.38 = 5,974.20 : x
  2. Step 2: Convert to fraction form
    10,689.48/14,752.38 = 5,974.20/x
  3. Step 3: Cross multiply
    10,689.48x = 14,752.38 × 5,974.20
  4. Step 4: Simplify right side
    10,689.48x = 88,133,668.60
  5. Step 5: Solve for x
    x = 88,133,668.60/10,689.48
  6. Step 6: Final answer
    x = 8,244.90

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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.