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Finding the Fourth Proportional to 6,416.42, 9,624.78 and 1,974.20

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Solution

The fourth proportional to 6,416.42, 9,624.78 and 1,974.20 is: 2,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.42 : 9,624.78 = 1,974.20 : x
  2. Step 2: Convert to fraction form
    6,416.42/9,624.78 = 1,974.20/x
  3. Step 3: Cross multiply
    6,416.42x = 9,624.78 × 1,974.20
  4. Step 4: Simplify right side
    6,416.42x = 19,001,240.68
  5. Step 5: Solve for x
    x = 19,001,240.68/6,416.42
  6. Step 6: Final answer
    x = 2,961.35

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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.