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Finding the Fourth Proportional to 9,252.48, 12,765.28 and 5,716.48

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Solution

The fourth proportional to 9,252.48, 12,765.28 and 5,716.48 is: 7,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.48 : 12,765.28 = 5,716.48 : x
  2. Step 2: Convert to fraction form
    9,252.48/12,765.28 = 5,716.48/x
  3. Step 3: Cross multiply
    9,252.48x = 12,765.28 × 5,716.48
  4. Step 4: Simplify right side
    9,252.48x = 72,972,467.81
  5. Step 5: Solve for x
    x = 72,972,467.81/9,252.48
  6. Step 6: Final answer
    x = 7,886.80

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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.