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Finding the Fourth Proportional to 6,297.48, 9,426.78 and 4,101.48

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Solution

The fourth proportional to 6,297.48, 9,426.78 and 4,101.48 is: 6,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.48 : 9,426.78 = 4,101.48 : x
  2. Step 2: Convert to fraction form
    6,297.48/9,426.78 = 4,101.48/x
  3. Step 3: Cross multiply
    6,297.48x = 9,426.78 × 4,101.48
  4. Step 4: Simplify right side
    6,297.48x = 38,663,749.63
  5. Step 5: Solve for x
    x = 38,663,749.63/6,297.48
  6. Step 6: Final answer
    x = 6,139.56

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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.