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Finding the Fourth Proportional to 6,409.60, 9,614.40 and 4,422.40

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Solution

The fourth proportional to 6,409.60, 9,614.40 and 4,422.40 is: 6,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 9,614.40 = 4,422.40 : x
  2. Step 2: Convert to fraction form
    6,409.60/9,614.40 = 4,422.40/x
  3. Step 3: Cross multiply
    6,409.60x = 9,614.40 × 4,422.40
  4. Step 4: Simplify right side
    6,409.60x = 42,518,722.56
  5. Step 5: Solve for x
    x = 42,518,722.56/6,409.60
  6. Step 6: Final answer
    x = 6,633.60

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Similar ratio
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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.