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Finding the Fourth Proportional to 4,536.60, 6,830.05 and 4,149.15

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Solution

The fourth proportional to 4,536.60, 6,830.05 and 4,149.15 is: 6,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.60 : 6,830.05 = 4,149.15 : x
  2. Step 2: Convert to fraction form
    4,536.60/6,830.05 = 4,149.15/x
  3. Step 3: Cross multiply
    4,536.60x = 6,830.05 × 4,149.15
  4. Step 4: Simplify right side
    4,536.60x = 28,338,901.96
  5. Step 5: Solve for x
    x = 28,338,901.96/4,536.60
  6. Step 6: Final answer
    x = 6,246.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.