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Finding the Fourth Proportional to 6,865.66, 10,300.22 and 3,170.48

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Solution

The fourth proportional to 6,865.66, 10,300.22 and 3,170.48 is: 4,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.66 : 10,300.22 = 3,170.48 : x
  2. Step 2: Convert to fraction form
    6,865.66/10,300.22 = 3,170.48/x
  3. Step 3: Cross multiply
    6,865.66x = 10,300.22 × 3,170.48
  4. Step 4: Simplify right side
    6,865.66x = 32,656,641.51
  5. Step 5: Solve for x
    x = 32,656,641.51/6,865.66
  6. Step 6: Final answer
    x = 4,756.52

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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.