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Finding the Fourth Proportional to 10,614.88, 14,649.24 and 7,084

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Solution

The fourth proportional to 10,614.88, 14,649.24 and 7,084 is: 9,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.88 : 14,649.24 = 7,084 : x
  2. Step 2: Convert to fraction form
    10,614.88/14,649.24 = 7,084/x
  3. Step 3: Cross multiply
    10,614.88x = 14,649.24 × 7,084
  4. Step 4: Simplify right side
    10,614.88x = 103,775,216.16
  5. Step 5: Solve for x
    x = 103,775,216.16/10,614.88
  6. Step 6: Final answer
    x = 9,776.39

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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.