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Finding the Fourth Proportional to 16,042.54, 24,064.74 and 7,278.16

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Solution

The fourth proportional to 16,042.54, 24,064.74 and 7,278.16 is: 10,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.54 : 24,064.74 = 7,278.16 : x
  2. Step 2: Convert to fraction form
    16,042.54/24,064.74 = 7,278.16/x
  3. Step 3: Cross multiply
    16,042.54x = 24,064.74 × 7,278.16
  4. Step 4: Simplify right side
    16,042.54x = 175,147,028.08
  5. Step 5: Solve for x
    x = 175,147,028.08/16,042.54
  6. Step 6: Final answer
    x = 10,917.66

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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.