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Finding the Fourth Proportional to 9,760.24, 13,463.04 and 6,403.24

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Solution

The fourth proportional to 9,760.24, 13,463.04 and 6,403.24 is: 8,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.24 : 13,463.04 = 6,403.24 : x
  2. Step 2: Convert to fraction form
    9,760.24/13,463.04 = 6,403.24/x
  3. Step 3: Cross multiply
    9,760.24x = 13,463.04 × 6,403.24
  4. Step 4: Simplify right side
    9,760.24x = 86,207,076.25
  5. Step 5: Solve for x
    x = 86,207,076.25/9,760.24
  6. Step 6: Final answer
    x = 8,832.48

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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.