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Finding the Fourth Proportional to 5,296.14, 7,948.17 and 1,967.46

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Solution

The fourth proportional to 5,296.14, 7,948.17 and 1,967.46 is: 2,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.14 : 7,948.17 = 1,967.46 : x
  2. Step 2: Convert to fraction form
    5,296.14/7,948.17 = 1,967.46/x
  3. Step 3: Cross multiply
    5,296.14x = 7,948.17 × 1,967.46
  4. Step 4: Simplify right side
    5,296.14x = 15,637,706.55
  5. Step 5: Solve for x
    x = 15,637,706.55/5,296.14
  6. Step 6: Final answer
    x = 2,952.66

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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.