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Finding the Fourth Proportional to 4,162.78, 6,203.05 and 4,030.66

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Solution

The fourth proportional to 4,162.78, 6,203.05 and 4,030.66 is: 6,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.78 : 6,203.05 = 4,030.66 : x
  2. Step 2: Convert to fraction form
    4,162.78/6,203.05 = 4,030.66/x
  3. Step 3: Cross multiply
    4,162.78x = 6,203.05 × 4,030.66
  4. Step 4: Simplify right side
    4,162.78x = 25,002,385.51
  5. Step 5: Solve for x
    x = 25,002,385.51/4,162.78
  6. Step 6: Final answer
    x = 6,006.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.