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Finding the Fourth Proportional to 4,657.40, 6,994.20 and 2,470.40

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Solution

The fourth proportional to 4,657.40, 6,994.20 and 2,470.40 is: 3,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.40 : 6,994.20 = 2,470.40 : x
  2. Step 2: Convert to fraction form
    4,657.40/6,994.20 = 2,470.40/x
  3. Step 3: Cross multiply
    4,657.40x = 6,994.20 × 2,470.40
  4. Step 4: Simplify right side
    4,657.40x = 17,278,471.68
  5. Step 5: Solve for x
    x = 17,278,471.68/4,657.40
  6. Step 6: Final answer
    x = 3,709.90

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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.