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Finding the Fourth Proportional to 6,806.58, 10,209.84 and 1,876.24

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Solution

The fourth proportional to 6,806.58, 10,209.84 and 1,876.24 is: 2,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.58 : 10,209.84 = 1,876.24 : x
  2. Step 2: Convert to fraction form
    6,806.58/10,209.84 = 1,876.24/x
  3. Step 3: Cross multiply
    6,806.58x = 10,209.84 × 1,876.24
  4. Step 4: Simplify right side
    6,806.58x = 19,156,110.20
  5. Step 5: Solve for x
    x = 19,156,110.20/6,806.58
  6. Step 6: Final answer
    x = 2,814.35

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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.