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Finding the Fourth Proportional to 6,959.68, 9,613.56 and 5,188.21

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Solution

The fourth proportional to 6,959.68, 9,613.56 and 5,188.21 is: 7,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.68 : 9,613.56 = 5,188.21 : x
  2. Step 2: Convert to fraction form
    6,959.68/9,613.56 = 5,188.21/x
  3. Step 3: Cross multiply
    6,959.68x = 9,613.56 × 5,188.21
  4. Step 4: Simplify right side
    6,959.68x = 49,877,168.13
  5. Step 5: Solve for x
    x = 49,877,168.13/6,959.68
  6. Step 6: Final answer
    x = 7,166.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.