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Finding the Fourth Proportional to 12,269.88, 16,933.68 and 7,235.76

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Solution

The fourth proportional to 12,269.88, 16,933.68 and 7,235.76 is: 9,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.88 : 16,933.68 = 7,235.76 : x
  2. Step 2: Convert to fraction form
    12,269.88/16,933.68 = 7,235.76/x
  3. Step 3: Cross multiply
    12,269.88x = 16,933.68 × 7,235.76
  4. Step 4: Simplify right side
    12,269.88x = 122,528,044.40
  5. Step 5: Solve for x
    x = 122,528,044.40/12,269.88
  6. Step 6: Final answer
    x = 9,986.08

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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.