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Finding the Fourth Proportional to 10,866.31, 14,994.98 and 6,673.75

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Solution

The fourth proportional to 10,866.31, 14,994.98 and 6,673.75 is: 9,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.31 : 14,994.98 = 6,673.75 : x
  2. Step 2: Convert to fraction form
    10,866.31/14,994.98 = 6,673.75/x
  3. Step 3: Cross multiply
    10,866.31x = 14,994.98 × 6,673.75
  4. Step 4: Simplify right side
    10,866.31x = 100,072,672.80
  5. Step 5: Solve for x
    x = 100,072,672.80/10,866.31
  6. Step 6: Final answer
    x = 9,209.45

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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.