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Finding the Fourth Proportional to 6,437.67, 9,657.98 and 2,741.10

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Solution

The fourth proportional to 6,437.67, 9,657.98 and 2,741.10 is: 4,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.67 : 9,657.98 = 2,741.10 : x
  2. Step 2: Convert to fraction form
    6,437.67/9,657.98 = 2,741.10/x
  3. Step 3: Cross multiply
    6,437.67x = 9,657.98 × 2,741.10
  4. Step 4: Simplify right side
    6,437.67x = 26,473,488.98
  5. Step 5: Solve for x
    x = 26,473,488.98/6,437.67
  6. Step 6: Final answer
    x = 4,112.28

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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.