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Finding the Fourth Proportional to 4,662.61, 6,991.85 and 2,470.82

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Solution

The fourth proportional to 4,662.61, 6,991.85 and 2,470.82 is: 3,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.61 : 6,991.85 = 2,470.82 : x
  2. Step 2: Convert to fraction form
    4,662.61/6,991.85 = 2,470.82/x
  3. Step 3: Cross multiply
    4,662.61x = 6,991.85 × 2,470.82
  4. Step 4: Simplify right side
    4,662.61x = 17,275,602.82
  5. Step 5: Solve for x
    x = 17,275,602.82/4,662.61
  6. Step 6: Final answer
    x = 3,705.14

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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.