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Finding the Fourth Proportional to 6,442.75, 9,664.13 and 1,578.75

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Solution

The fourth proportional to 6,442.75, 9,664.13 and 1,578.75 is: 2,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.75 : 9,664.13 = 1,578.75 : x
  2. Step 2: Convert to fraction form
    6,442.75/9,664.13 = 1,578.75/x
  3. Step 3: Cross multiply
    6,442.75x = 9,664.13 × 1,578.75
  4. Step 4: Simplify right side
    6,442.75x = 15,257,245.24
  5. Step 5: Solve for x
    x = 15,257,245.24/6,442.75
  6. Step 6: Final answer
    x = 2,368.13

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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.