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Finding the Fourth Proportional to 6,249.29, 8,612.16 and 4,477.82

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Solution

The fourth proportional to 6,249.29, 8,612.16 and 4,477.82 is: 6,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.29 : 8,612.16 = 4,477.82 : x
  2. Step 2: Convert to fraction form
    6,249.29/8,612.16 = 4,477.82/x
  3. Step 3: Cross multiply
    6,249.29x = 8,612.16 × 4,477.82
  4. Step 4: Simplify right side
    6,249.29x = 38,563,702.29
  5. Step 5: Solve for x
    x = 38,563,702.29/6,249.29
  6. Step 6: Final answer
    x = 6,170.89

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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.