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Finding the Fourth Proportional to 9,959.46, 13,744.71 and 6,596.43

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Solution

The fourth proportional to 9,959.46, 13,744.71 and 6,596.43 is: 9,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.46 : 13,744.71 = 6,596.43 : x
  2. Step 2: Convert to fraction form
    9,959.46/13,744.71 = 6,596.43/x
  3. Step 3: Cross multiply
    9,959.46x = 13,744.71 × 6,596.43
  4. Step 4: Simplify right side
    9,959.46x = 90,666,017.39
  5. Step 5: Solve for x
    x = 90,666,017.39/9,959.46
  6. Step 6: Final answer
    x = 9,103.51

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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.