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Finding the Fourth Proportional to 6,301.56, 9,452.34 and 1,919

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Solution

The fourth proportional to 6,301.56, 9,452.34 and 1,919 is: 2,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.56 : 9,452.34 = 1,919 : x
  2. Step 2: Convert to fraction form
    6,301.56/9,452.34 = 1,919/x
  3. Step 3: Cross multiply
    6,301.56x = 9,452.34 × 1,919
  4. Step 4: Simplify right side
    6,301.56x = 18,139,040.46
  5. Step 5: Solve for x
    x = 18,139,040.46/6,301.56
  6. Step 6: Final answer
    x = 2,878.50

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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.