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Finding the Fourth Proportional to 6,705.32, 9,249.54 and 4,217

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Solution

The fourth proportional to 6,705.32, 9,249.54 and 4,217 is: 5,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.32 : 9,249.54 = 4,217 : x
  2. Step 2: Convert to fraction form
    6,705.32/9,249.54 = 4,217/x
  3. Step 3: Cross multiply
    6,705.32x = 9,249.54 × 4,217
  4. Step 4: Simplify right side
    6,705.32x = 39,005,310.18
  5. Step 5: Solve for x
    x = 39,005,310.18/6,705.32
  6. Step 6: Final answer
    x = 5,817.07

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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.