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Finding the Fourth Proportional to 5,296.14, 7,946.13 and 4,328.46

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Solution

The fourth proportional to 5,296.14, 7,946.13 and 4,328.46 is: 6,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.14 : 7,946.13 = 4,328.46 : x
  2. Step 2: Convert to fraction form
    5,296.14/7,946.13 = 4,328.46/x
  3. Step 3: Cross multiply
    5,296.14x = 7,946.13 × 4,328.46
  4. Step 4: Simplify right side
    5,296.14x = 34,394,505.86
  5. Step 5: Solve for x
    x = 34,394,505.86/5,296.14
  6. Step 6: Final answer
    x = 6,494.26

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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.