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Finding the Fourth Proportional to 4,712.58, 6,503.10 and 2,616.66

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Solution

The fourth proportional to 4,712.58, 6,503.10 and 2,616.66 is: 3,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.58 : 6,503.10 = 2,616.66 : x
  2. Step 2: Convert to fraction form
    4,712.58/6,503.10 = 2,616.66/x
  3. Step 3: Cross multiply
    4,712.58x = 6,503.10 × 2,616.66
  4. Step 4: Simplify right side
    4,712.58x = 17,016,401.65
  5. Step 5: Solve for x
    x = 17,016,401.65/4,712.58
  6. Step 6: Final answer
    x = 3,610.85

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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.