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Finding the Fourth Proportional to 12,053.77, 18,049.20 and 9,700.92

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Solution

The fourth proportional to 12,053.77, 18,049.20 and 9,700.92 is: 14,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.77 : 18,049.20 = 9,700.92 : x
  2. Step 2: Convert to fraction form
    12,053.77/18,049.20 = 9,700.92/x
  3. Step 3: Cross multiply
    12,053.77x = 18,049.20 × 9,700.92
  4. Step 4: Simplify right side
    12,053.77x = 175,093,845.26
  5. Step 5: Solve for x
    x = 175,093,845.26/12,053.77
  6. Step 6: Final answer
    x = 14,526.06

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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.