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Finding the Fourth Proportional to 43,689.76, 65,534.68 and 10,857.76

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Solution

The fourth proportional to 43,689.76, 65,534.68 and 10,857.76 is: 16,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,689.76 : 65,534.68 = 10,857.76 : x
  2. Step 2: Convert to fraction form
    43,689.76/65,534.68 = 10,857.76/x
  3. Step 3: Cross multiply
    43,689.76x = 65,534.68 × 10,857.76
  4. Step 4: Simplify right side
    43,689.76x = 711,559,827.12
  5. Step 5: Solve for x
    x = 711,559,827.12/43,689.76
  6. Step 6: Final answer
    x = 16,286.65

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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.