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Finding the Fourth Proportional to 9,952.64, 13,734.64 and 5,760.80

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Solution

The fourth proportional to 9,952.64, 13,734.64 and 5,760.80 is: 7,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.64 : 13,734.64 = 5,760.80 : x
  2. Step 2: Convert to fraction form
    9,952.64/13,734.64 = 5,760.80/x
  3. Step 3: Cross multiply
    9,952.64x = 13,734.64 × 5,760.80
  4. Step 4: Simplify right side
    9,952.64x = 79,122,514.11
  5. Step 5: Solve for x
    x = 79,122,514.11/9,952.64
  6. Step 6: Final answer
    x = 7,949.90

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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.