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Finding the Fourth Proportional to 15,978.76, 22,049.72 and 9,263.88

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Solution

The fourth proportional to 15,978.76, 22,049.72 and 9,263.88 is: 12,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.76 : 22,049.72 = 9,263.88 : x
  2. Step 2: Convert to fraction form
    15,978.76/22,049.72 = 9,263.88/x
  3. Step 3: Cross multiply
    15,978.76x = 22,049.72 × 9,263.88
  4. Step 4: Simplify right side
    15,978.76x = 204,265,960.11
  5. Step 5: Solve for x
    x = 204,265,960.11/15,978.76
  6. Step 6: Final answer
    x = 12,783.59

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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.