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Finding the Fourth Proportional to 9,882.24, 13,636 and 6,345.92

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Solution

The fourth proportional to 9,882.24, 13,636 and 6,345.92 is: 8,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.24 : 13,636 = 6,345.92 : x
  2. Step 2: Convert to fraction form
    9,882.24/13,636 = 6,345.92/x
  3. Step 3: Cross multiply
    9,882.24x = 13,636 × 6,345.92
  4. Step 4: Simplify right side
    9,882.24x = 86,532,965.12
  5. Step 5: Solve for x
    x = 86,532,965.12/9,882.24
  6. Step 6: Final answer
    x = 8,756.41

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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.