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Finding the Fourth Proportional to 10,641.87, 14,679.13 and 7,652.97

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Solution

The fourth proportional to 10,641.87, 14,679.13 and 7,652.97 is: 10,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.87 : 14,679.13 = 7,652.97 : x
  2. Step 2: Convert to fraction form
    10,641.87/14,679.13 = 7,652.97/x
  3. Step 3: Cross multiply
    10,641.87x = 14,679.13 × 7,652.97
  4. Step 4: Simplify right side
    10,641.87x = 112,338,941.52
  5. Step 5: Solve for x
    x = 112,338,941.52/10,641.87
  6. Step 6: Final answer
    x = 10,556.32

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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.