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Finding the Fourth Proportional to 16,077, 24,115.50 and 7,314.42

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Solution

The fourth proportional to 16,077, 24,115.50 and 7,314.42 is: 10,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077 : 24,115.50 = 7,314.42 : x
  2. Step 2: Convert to fraction form
    16,077/24,115.50 = 7,314.42/x
  3. Step 3: Cross multiply
    16,077x = 24,115.50 × 7,314.42
  4. Step 4: Simplify right side
    16,077x = 176,390,895.51
  5. Step 5: Solve for x
    x = 176,390,895.51/16,077
  6. Step 6: Final answer
    x = 10,971.63

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Double scale
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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.