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Finding the Fourth Proportional to 6,437.67, 9,656.67 and 2,055.12

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Solution

The fourth proportional to 6,437.67, 9,656.67 and 2,055.12 is: 3,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.67 : 9,656.67 = 2,055.12 : x
  2. Step 2: Convert to fraction form
    6,437.67/9,656.67 = 2,055.12/x
  3. Step 3: Cross multiply
    6,437.67x = 9,656.67 × 2,055.12
  4. Step 4: Simplify right side
    6,437.67x = 19,845,615.65
  5. Step 5: Solve for x
    x = 19,845,615.65/6,437.67
  6. Step 6: Final answer
    x = 3,082.73

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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.