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Finding the Fourth Proportional to 9,708.59, 13,404.02 and 6,723.34

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Solution

The fourth proportional to 9,708.59, 13,404.02 and 6,723.34 is: 9,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.59 : 13,404.02 = 6,723.34 : x
  2. Step 2: Convert to fraction form
    9,708.59/13,404.02 = 6,723.34/x
  3. Step 3: Cross multiply
    9,708.59x = 13,404.02 × 6,723.34
  4. Step 4: Simplify right side
    9,708.59x = 90,119,716.70
  5. Step 5: Solve for x
    x = 90,119,716.70/9,708.59
  6. Step 6: Final answer
    x = 9,282.47

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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.