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Finding the Fourth Proportional to 9,713.14, 13,403.71 and 5,464.13

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Solution

The fourth proportional to 9,713.14, 13,403.71 and 5,464.13 is: 7,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.14 : 13,403.71 = 5,464.13 : x
  2. Step 2: Convert to fraction form
    9,713.14/13,403.71 = 5,464.13/x
  3. Step 3: Cross multiply
    9,713.14x = 13,403.71 × 5,464.13
  4. Step 4: Simplify right side
    9,713.14x = 73,239,553.73
  5. Step 5: Solve for x
    x = 73,239,553.73/9,713.14
  6. Step 6: Final answer
    x = 7,540.26

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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.