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Finding the Fourth Proportional to 6,377.48, 9,548.48 and 4,812.76

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Solution

The fourth proportional to 6,377.48, 9,548.48 and 4,812.76 is: 7,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.48 : 9,548.48 = 4,812.76 : x
  2. Step 2: Convert to fraction form
    6,377.48/9,548.48 = 4,812.76/x
  3. Step 3: Cross multiply
    6,377.48x = 9,548.48 × 4,812.76
  4. Step 4: Simplify right side
    6,377.48x = 45,954,542.60
  5. Step 5: Solve for x
    x = 45,954,542.60/6,377.48
  6. Step 6: Final answer
    x = 7,205.75

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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.