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Finding the Fourth Proportional to 9,713.74, 13,404.45 and 5,733.40

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Solution

The fourth proportional to 9,713.74, 13,404.45 and 5,733.40 is: 7,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.74 : 13,404.45 = 5,733.40 : x
  2. Step 2: Convert to fraction form
    9,713.74/13,404.45 = 5,733.40/x
  3. Step 3: Cross multiply
    9,713.74x = 13,404.45 × 5,733.40
  4. Step 4: Simplify right side
    9,713.74x = 76,853,073.63
  5. Step 5: Solve for x
    x = 76,853,073.63/9,713.74
  6. Step 6: Final answer
    x = 7,911.79

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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.