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Finding the Fourth Proportional to 9,713.46, 13,404.08 and 5,935.88

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Solution

The fourth proportional to 9,713.46, 13,404.08 and 5,935.88 is: 8,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.46 : 13,404.08 = 5,935.88 : x
  2. Step 2: Convert to fraction form
    9,713.46/13,404.08 = 5,935.88/x
  3. Step 3: Cross multiply
    9,713.46x = 13,404.08 × 5,935.88
  4. Step 4: Simplify right side
    9,713.46x = 79,565,010.39
  5. Step 5: Solve for x
    x = 79,565,010.39/9,713.46
  6. Step 6: Final answer
    x = 8,191.21

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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.