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Finding the Fourth Proportional to 9,672.29, 14,509.49 and 4,126.22

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Solution

The fourth proportional to 9,672.29, 14,509.49 and 4,126.22 is: 6,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.29 : 14,509.49 = 4,126.22 : x
  2. Step 2: Convert to fraction form
    9,672.29/14,509.49 = 4,126.22/x
  3. Step 3: Cross multiply
    9,672.29x = 14,509.49 × 4,126.22
  4. Step 4: Simplify right side
    9,672.29x = 59,869,363.47
  5. Step 5: Solve for x
    x = 59,869,363.47/9,672.29
  6. Step 6: Final answer
    x = 6,189.78

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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.