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Finding the Fourth Proportional to 8,224.76, 12,342.54 and 6,026.78

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Solution

The fourth proportional to 8,224.76, 12,342.54 and 6,026.78 is: 9,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.76 : 12,342.54 = 6,026.78 : x
  2. Step 2: Convert to fraction form
    8,224.76/12,342.54 = 6,026.78/x
  3. Step 3: Cross multiply
    8,224.76x = 12,342.54 × 6,026.78
  4. Step 4: Simplify right side
    8,224.76x = 74,385,773.22
  5. Step 5: Solve for x
    x = 74,385,773.22/8,224.76
  6. Step 6: Final answer
    x = 9,044.13

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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.