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Finding the Fourth Proportional to 6,705.38, 9,259.52 and 4,057.29

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Solution

The fourth proportional to 6,705.38, 9,259.52 and 4,057.29 is: 5,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.38 : 9,259.52 = 4,057.29 : x
  2. Step 2: Convert to fraction form
    6,705.38/9,259.52 = 4,057.29/x
  3. Step 3: Cross multiply
    6,705.38x = 9,259.52 × 4,057.29
  4. Step 4: Simplify right side
    6,705.38x = 37,568,537.61
  5. Step 5: Solve for x
    x = 37,568,537.61/6,705.38
  6. Step 6: Final answer
    x = 5,602.74

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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.