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Finding the Fourth Proportional to 9,048.30, 12,452.67 and 7,464.30

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Solution

The fourth proportional to 9,048.30, 12,452.67 and 7,464.30 is: 10,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.30 : 12,452.67 = 7,464.30 : x
  2. Step 2: Convert to fraction form
    9,048.30/12,452.67 = 7,464.30/x
  3. Step 3: Cross multiply
    9,048.30x = 12,452.67 × 7,464.30
  4. Step 4: Simplify right side
    9,048.30x = 92,950,464.68
  5. Step 5: Solve for x
    x = 92,950,464.68/9,048.30
  6. Step 6: Final answer
    x = 10,272.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.