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Finding the Fourth Proportional to 9,713.50, 13,397.34 and 6,734.32

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Solution

The fourth proportional to 9,713.50, 13,397.34 and 6,734.32 is: 9,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.50 : 13,397.34 = 6,734.32 : x
  2. Step 2: Convert to fraction form
    9,713.50/13,397.34 = 6,734.32/x
  3. Step 3: Cross multiply
    9,713.50x = 13,397.34 × 6,734.32
  4. Step 4: Simplify right side
    9,713.50x = 90,221,974.71
  5. Step 5: Solve for x
    x = 90,221,974.71/9,713.50
  6. Step 6: Final answer
    x = 9,288.31

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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.