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Finding the Fourth Proportional to 6,309.08, 9,462.54 and 1,691

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Solution

The fourth proportional to 6,309.08, 9,462.54 and 1,691 is: 2,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.08 : 9,462.54 = 1,691 : x
  2. Step 2: Convert to fraction form
    6,309.08/9,462.54 = 1,691/x
  3. Step 3: Cross multiply
    6,309.08x = 9,462.54 × 1,691
  4. Step 4: Simplify right side
    6,309.08x = 16,001,155.14
  5. Step 5: Solve for x
    x = 16,001,155.14/6,309.08
  6. Step 6: Final answer
    x = 2,536.21

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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.