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Finding the Fourth Proportional to 6,874.32, 10,312.14 and 1,944.12

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Solution

The fourth proportional to 6,874.32, 10,312.14 and 1,944.12 is: 2,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.32 : 10,312.14 = 1,944.12 : x
  2. Step 2: Convert to fraction form
    6,874.32/10,312.14 = 1,944.12/x
  3. Step 3: Cross multiply
    6,874.32x = 10,312.14 × 1,944.12
  4. Step 4: Simplify right side
    6,874.32x = 20,048,037.62
  5. Step 5: Solve for x
    x = 20,048,037.62/6,874.32
  6. Step 6: Final answer
    x = 2,916.37

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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.