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Finding the Fourth Proportional to 16,041.16, 24,061.76 and 6,185.08

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Solution

The fourth proportional to 16,041.16, 24,061.76 and 6,185.08 is: 9,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.16 : 24,061.76 = 6,185.08 : x
  2. Step 2: Convert to fraction form
    16,041.16/24,061.76 = 6,185.08/x
  3. Step 3: Cross multiply
    16,041.16x = 24,061.76 × 6,185.08
  4. Step 4: Simplify right side
    16,041.16x = 148,823,910.54
  5. Step 5: Solve for x
    x = 148,823,910.54/16,041.16
  6. Step 6: Final answer
    x = 9,277.63

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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.