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Finding the Fourth Proportional to 6,493.58, 9,747.26 and 5,275.69

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Solution

The fourth proportional to 6,493.58, 9,747.26 and 5,275.69 is: 7,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.58 : 9,747.26 = 5,275.69 : x
  2. Step 2: Convert to fraction form
    6,493.58/9,747.26 = 5,275.69/x
  3. Step 3: Cross multiply
    6,493.58x = 9,747.26 × 5,275.69
  4. Step 4: Simplify right side
    6,493.58x = 51,423,536.08
  5. Step 5: Solve for x
    x = 51,423,536.08/6,493.58
  6. Step 6: Final answer
    x = 7,919.14

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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.