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Finding the Fourth Proportional to 6,325.65, 9,493.64 and 4,478.55

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Solution

The fourth proportional to 6,325.65, 9,493.64 and 4,478.55 is: 6,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.65 : 9,493.64 = 4,478.55 : x
  2. Step 2: Convert to fraction form
    6,325.65/9,493.64 = 4,478.55/x
  3. Step 3: Cross multiply
    6,325.65x = 9,493.64 × 4,478.55
  4. Step 4: Simplify right side
    6,325.65x = 42,517,719.03
  5. Step 5: Solve for x
    x = 42,517,719.03/6,325.65
  6. Step 6: Final answer
    x = 6,721.48

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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.