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Finding the Fourth Proportional to 6,249.74, 9,374.64 and 1,867.10

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Solution

The fourth proportional to 6,249.74, 9,374.64 and 1,867.10 is: 2,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.74 : 9,374.64 = 1,867.10 : x
  2. Step 2: Convert to fraction form
    6,249.74/9,374.64 = 1,867.10/x
  3. Step 3: Cross multiply
    6,249.74x = 9,374.64 × 1,867.10
  4. Step 4: Simplify right side
    6,249.74x = 17,503,390.34
  5. Step 5: Solve for x
    x = 17,503,390.34/6,249.74
  6. Step 6: Final answer
    x = 2,800.66

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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.