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Finding the Fourth Proportional to 8,578.54, 11,841.16 and 6,595.66

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Solution

The fourth proportional to 8,578.54, 11,841.16 and 6,595.66 is: 9,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.54 : 11,841.16 = 6,595.66 : x
  2. Step 2: Convert to fraction form
    8,578.54/11,841.16 = 6,595.66/x
  3. Step 3: Cross multiply
    8,578.54x = 11,841.16 × 6,595.66
  4. Step 4: Simplify right side
    8,578.54x = 78,100,265.37
  5. Step 5: Solve for x
    x = 78,100,265.37/8,578.54
  6. Step 6: Final answer
    x = 9,104.14

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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.