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Finding the Fourth Proportional to 13,733.76, 18,952.72 and 7,446.24

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Solution

The fourth proportional to 13,733.76, 18,952.72 and 7,446.24 is: 10,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.76 : 18,952.72 = 7,446.24 : x
  2. Step 2: Convert to fraction form
    13,733.76/18,952.72 = 7,446.24/x
  3. Step 3: Cross multiply
    13,733.76x = 18,952.72 × 7,446.24
  4. Step 4: Simplify right side
    13,733.76x = 141,126,501.77
  5. Step 5: Solve for x
    x = 141,126,501.77/13,733.76
  6. Step 6: Final answer
    x = 10,275.88

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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.