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Finding the Fourth Proportional to 6,462.99, 9,695.39 and 2,301.76

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Solution

The fourth proportional to 6,462.99, 9,695.39 and 2,301.76 is: 3,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.99 : 9,695.39 = 2,301.76 : x
  2. Step 2: Convert to fraction form
    6,462.99/9,695.39 = 2,301.76/x
  3. Step 3: Cross multiply
    6,462.99x = 9,695.39 × 2,301.76
  4. Step 4: Simplify right side
    6,462.99x = 22,316,486.46
  5. Step 5: Solve for x
    x = 22,316,486.46/6,462.99
  6. Step 6: Final answer
    x = 3,452.97

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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.