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Finding the Fourth Proportional to 4,313.40, 6,470.10 and 2,470.20

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Solution

The fourth proportional to 4,313.40, 6,470.10 and 2,470.20 is: 3,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.40 : 6,470.10 = 2,470.20 : x
  2. Step 2: Convert to fraction form
    4,313.40/6,470.10 = 2,470.20/x
  3. Step 3: Cross multiply
    4,313.40x = 6,470.10 × 2,470.20
  4. Step 4: Simplify right side
    4,313.40x = 15,982,441.02
  5. Step 5: Solve for x
    x = 15,982,441.02/4,313.40
  6. Step 6: Final answer
    x = 3,705.30

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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.