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Finding the Fourth Proportional to 9,452.48, 12,964.24 and 9,218.24

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Solution

The fourth proportional to 9,452.48, 12,964.24 and 9,218.24 is: 12,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.48 : 12,964.24 = 9,218.24 : x
  2. Step 2: Convert to fraction form
    9,452.48/12,964.24 = 9,218.24/x
  3. Step 3: Cross multiply
    9,452.48x = 12,964.24 × 9,218.24
  4. Step 4: Simplify right side
    9,452.48x = 119,507,475.74
  5. Step 5: Solve for x
    x = 119,507,475.74/9,452.48
  6. Step 6: Final answer
    x = 12,642.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.