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Finding the Fourth Proportional to 10,310.62, 14,229 and 6,061.62

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Solution

The fourth proportional to 10,310.62, 14,229 and 6,061.62 is: 8,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.62 : 14,229 = 6,061.62 : x
  2. Step 2: Convert to fraction form
    10,310.62/14,229 = 6,061.62/x
  3. Step 3: Cross multiply
    10,310.62x = 14,229 × 6,061.62
  4. Step 4: Simplify right side
    10,310.62x = 86,250,790.98
  5. Step 5: Solve for x
    x = 86,250,790.98/10,310.62
  6. Step 6: Final answer
    x = 8,365.24

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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.