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Finding the Fourth Proportional to 15,722.64, 21,697.80 and 8,648.88

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Solution

The fourth proportional to 15,722.64, 21,697.80 and 8,648.88 is: 11,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.64 : 21,697.80 = 8,648.88 : x
  2. Step 2: Convert to fraction form
    15,722.64/21,697.80 = 8,648.88/x
  3. Step 3: Cross multiply
    15,722.64x = 21,697.80 × 8,648.88
  4. Step 4: Simplify right side
    15,722.64x = 187,661,668.46
  5. Step 5: Solve for x
    x = 187,661,668.46/15,722.64
  6. Step 6: Final answer
    x = 11,935.76

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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.