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Finding the Fourth Proportional to 9,967.84, 13,751 and 6,432.18

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Solution

The fourth proportional to 9,967.84, 13,751 and 6,432.18 is: 8,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.84 : 13,751 = 6,432.18 : x
  2. Step 2: Convert to fraction form
    9,967.84/13,751 = 6,432.18/x
  3. Step 3: Cross multiply
    9,967.84x = 13,751 × 6,432.18
  4. Step 4: Simplify right side
    9,967.84x = 88,448,907.18
  5. Step 5: Solve for x
    x = 88,448,907.18/9,967.84
  6. Step 6: Final answer
    x = 8,873.43

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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.