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Finding the Fourth Proportional to 9,671.96, 14,489.26 and 7,134.58

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Solution

The fourth proportional to 9,671.96, 14,489.26 and 7,134.58 is: 10,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.96 : 14,489.26 = 7,134.58 : x
  2. Step 2: Convert to fraction form
    9,671.96/14,489.26 = 7,134.58/x
  3. Step 3: Cross multiply
    9,671.96x = 14,489.26 × 7,134.58
  4. Step 4: Simplify right side
    9,671.96x = 103,374,780.02
  5. Step 5: Solve for x
    x = 103,374,780.02/9,671.96
  6. Step 6: Final answer
    x = 10,688.09

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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.