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Finding the Fourth Proportional to 8,232.40, 11,357.22 and 5,044.48

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Solution

The fourth proportional to 8,232.40, 11,357.22 and 5,044.48 is: 6,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.40 : 11,357.22 = 5,044.48 : x
  2. Step 2: Convert to fraction form
    8,232.40/11,357.22 = 5,044.48/x
  3. Step 3: Cross multiply
    8,232.40x = 11,357.22 × 5,044.48
  4. Step 4: Simplify right side
    8,232.40x = 57,291,269.15
  5. Step 5: Solve for x
    x = 57,291,269.15/8,232.40
  6. Step 6: Final answer
    x = 6,959.24

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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.