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Finding the Fourth Proportional to 6,874.68, 10,312.40 and 1,944.68

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Solution

The fourth proportional to 6,874.68, 10,312.40 and 1,944.68 is: 2,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.68 : 10,312.40 = 1,944.68 : x
  2. Step 2: Convert to fraction form
    6,874.68/10,312.40 = 1,944.68/x
  3. Step 3: Cross multiply
    6,874.68x = 10,312.40 × 1,944.68
  4. Step 4: Simplify right side
    6,874.68x = 20,054,318.03
  5. Step 5: Solve for x
    x = 20,054,318.03/6,874.68
  6. Step 6: Final answer
    x = 2,917.13

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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.