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Finding the Fourth Proportional to 10,465.39, 15,696.46 and 6,793.66

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Solution

The fourth proportional to 10,465.39, 15,696.46 and 6,793.66 is: 10,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.39 : 15,696.46 = 6,793.66 : x
  2. Step 2: Convert to fraction form
    10,465.39/15,696.46 = 6,793.66/x
  3. Step 3: Cross multiply
    10,465.39x = 15,696.46 × 6,793.66
  4. Step 4: Simplify right side
    10,465.39x = 106,636,412.44
  5. Step 5: Solve for x
    x = 106,636,412.44/10,465.39
  6. Step 6: Final answer
    x = 10,189.44

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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.