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Finding the Fourth Proportional to 9,257.68, 13,887.60 and 5,795.20

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Solution

The fourth proportional to 9,257.68, 13,887.60 and 5,795.20 is: 8,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.68 : 13,887.60 = 5,795.20 : x
  2. Step 2: Convert to fraction form
    9,257.68/13,887.60 = 5,795.20/x
  3. Step 3: Cross multiply
    9,257.68x = 13,887.60 × 5,795.20
  4. Step 4: Simplify right side
    9,257.68x = 80,481,419.52
  5. Step 5: Solve for x
    x = 80,481,419.52/9,257.68
  6. Step 6: Final answer
    x = 8,693.48

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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.