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Finding the Fourth Proportional to 8,424.74, 11,631.54 and 7,539

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Solution

The fourth proportional to 8,424.74, 11,631.54 and 7,539 is: 10,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.74 : 11,631.54 = 7,539 : x
  2. Step 2: Convert to fraction form
    8,424.74/11,631.54 = 7,539/x
  3. Step 3: Cross multiply
    8,424.74x = 11,631.54 × 7,539
  4. Step 4: Simplify right side
    8,424.74x = 87,690,180.06
  5. Step 5: Solve for x
    x = 87,690,180.06/8,424.74
  6. Step 6: Final answer
    x = 10,408.66

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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.