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Finding the Fourth Proportional to 12,264.50, 16,925.01 and 6,675.50

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Solution

The fourth proportional to 12,264.50, 16,925.01 and 6,675.50 is: 9,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.50 : 16,925.01 = 6,675.50 : x
  2. Step 2: Convert to fraction form
    12,264.50/16,925.01 = 6,675.50/x
  3. Step 3: Cross multiply
    12,264.50x = 16,925.01 × 6,675.50
  4. Step 4: Simplify right side
    12,264.50x = 112,982,904.26
  5. Step 5: Solve for x
    x = 112,982,904.26/12,264.50
  6. Step 6: Final answer
    x = 9,212.19

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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.