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Finding the Fourth Proportional to 8,349.16, 12,523.74 and 6,697.57

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Solution

The fourth proportional to 8,349.16, 12,523.74 and 6,697.57 is: 10,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.16 : 12,523.74 = 6,697.57 : x
  2. Step 2: Convert to fraction form
    8,349.16/12,523.74 = 6,697.57/x
  3. Step 3: Cross multiply
    8,349.16x = 12,523.74 × 6,697.57
  4. Step 4: Simplify right side
    8,349.16x = 83,878,625.31
  5. Step 5: Solve for x
    x = 83,878,625.31/8,349.16
  6. Step 6: Final answer
    x = 10,046.36

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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.