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Finding the Fourth Proportional to 8,232.90, 12,253.32 and 8,207.30

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Solution

The fourth proportional to 8,232.90, 12,253.32 and 8,207.30 is: 12,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.90 : 12,253.32 = 8,207.30 : x
  2. Step 2: Convert to fraction form
    8,232.90/12,253.32 = 8,207.30/x
  3. Step 3: Cross multiply
    8,232.90x = 12,253.32 × 8,207.30
  4. Step 4: Simplify right side
    8,232.90x = 100,566,673.24
  5. Step 5: Solve for x
    x = 100,566,673.24/8,232.90
  6. Step 6: Final answer
    x = 12,215.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.