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Finding the Fourth Proportional to 9,253.12, 13,882.88 and 5,786.24

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Solution

The fourth proportional to 9,253.12, 13,882.88 and 5,786.24 is: 8,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.12 : 13,882.88 = 5,786.24 : x
  2. Step 2: Convert to fraction form
    9,253.12/13,882.88 = 5,786.24/x
  3. Step 3: Cross multiply
    9,253.12x = 13,882.88 × 5,786.24
  4. Step 4: Simplify right side
    9,253.12x = 80,329,675.57
  5. Step 5: Solve for x
    x = 80,329,675.57/9,253.12
  6. Step 6: Final answer
    x = 8,681.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.