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Finding the Fourth Proportional to 9,671.62, 14,512.29 and 7,211.38

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Solution

The fourth proportional to 9,671.62, 14,512.29 and 7,211.38 is: 10,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.62 : 14,512.29 = 7,211.38 : x
  2. Step 2: Convert to fraction form
    9,671.62/14,512.29 = 7,211.38/x
  3. Step 3: Cross multiply
    9,671.62x = 14,512.29 × 7,211.38
  4. Step 4: Simplify right side
    9,671.62x = 104,653,637.86
  5. Step 5: Solve for x
    x = 104,653,637.86/9,671.62
  6. Step 6: Final answer
    x = 10,820.69

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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.