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Finding the Fourth Proportional to 11,337.93, 17,014.64 and 3,942.32

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Solution

The fourth proportional to 11,337.93, 17,014.64 and 3,942.32 is: 5,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.93 : 17,014.64 = 3,942.32 : x
  2. Step 2: Convert to fraction form
    11,337.93/17,014.64 = 3,942.32/x
  3. Step 3: Cross multiply
    11,337.93x = 17,014.64 × 3,942.32
  4. Step 4: Simplify right side
    11,337.93x = 67,077,050.78
  5. Step 5: Solve for x
    x = 67,077,050.78/11,337.93
  6. Step 6: Final answer
    x = 5,916.16

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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.