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Finding the Fourth Proportional to 14,697.92, 22,031.78 and 5,809.64

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Solution

The fourth proportional to 14,697.92, 22,031.78 and 5,809.64 is: 8,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.92 : 22,031.78 = 5,809.64 : x
  2. Step 2: Convert to fraction form
    14,697.92/22,031.78 = 5,809.64/x
  3. Step 3: Cross multiply
    14,697.92x = 22,031.78 × 5,809.64
  4. Step 4: Simplify right side
    14,697.92x = 127,996,571.15
  5. Step 5: Solve for x
    x = 127,996,571.15/14,697.92
  6. Step 6: Final answer
    x = 8,708.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.