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Finding the Fourth Proportional to 6,478.08, 9,722.88 and 3,016.32

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Solution

The fourth proportional to 6,478.08, 9,722.88 and 3,016.32 is: 4,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.08 : 9,722.88 = 3,016.32 : x
  2. Step 2: Convert to fraction form
    6,478.08/9,722.88 = 3,016.32/x
  3. Step 3: Cross multiply
    6,478.08x = 9,722.88 × 3,016.32
  4. Step 4: Simplify right side
    6,478.08x = 29,327,317.40
  5. Step 5: Solve for x
    x = 29,327,317.40/6,478.08
  6. Step 6: Final answer
    x = 4,527.16

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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.