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Finding the Fourth Proportional to 8,296.47, 11,436.93 and 5,934.51

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Solution

The fourth proportional to 8,296.47, 11,436.93 and 5,934.51 is: 8,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.47 : 11,436.93 = 5,934.51 : x
  2. Step 2: Convert to fraction form
    8,296.47/11,436.93 = 5,934.51/x
  3. Step 3: Cross multiply
    8,296.47x = 11,436.93 × 5,934.51
  4. Step 4: Simplify right side
    8,296.47x = 67,872,575.45
  5. Step 5: Solve for x
    x = 67,872,575.45/8,296.47
  6. Step 6: Final answer
    x = 8,180.90

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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.