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Finding the Fourth Proportional to 10,701.64, 16,035.18 and 6,589

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Solution

The fourth proportional to 10,701.64, 16,035.18 and 6,589 is: 9,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.64 : 16,035.18 = 6,589 : x
  2. Step 2: Convert to fraction form
    10,701.64/16,035.18 = 6,589/x
  3. Step 3: Cross multiply
    10,701.64x = 16,035.18 × 6,589
  4. Step 4: Simplify right side
    10,701.64x = 105,655,801.02
  5. Step 5: Solve for x
    x = 105,655,801.02/10,701.64
  6. Step 6: Final answer
    x = 9,872.86

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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.