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Finding the Fourth Proportional to 9,301.76, 12,834.14 and 5,268.68

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Solution

The fourth proportional to 9,301.76, 12,834.14 and 5,268.68 is: 7,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.76 : 12,834.14 = 5,268.68 : x
  2. Step 2: Convert to fraction form
    9,301.76/12,834.14 = 5,268.68/x
  3. Step 3: Cross multiply
    9,301.76x = 12,834.14 × 5,268.68
  4. Step 4: Simplify right side
    9,301.76x = 67,618,976.74
  5. Step 5: Solve for x
    x = 67,618,976.74/9,301.76
  6. Step 6: Final answer
    x = 7,269.48

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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.