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Finding the Fourth Proportional to 5,144.48, 7,756.76 and 4,712.48

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Solution

The fourth proportional to 5,144.48, 7,756.76 and 4,712.48 is: 7,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.48 : 7,756.76 = 4,712.48 : x
  2. Step 2: Convert to fraction form
    5,144.48/7,756.76 = 4,712.48/x
  3. Step 3: Cross multiply
    5,144.48x = 7,756.76 × 4,712.48
  4. Step 4: Simplify right side
    5,144.48x = 36,553,576.36
  5. Step 5: Solve for x
    x = 36,553,576.36/5,144.48
  6. Step 6: Final answer
    x = 7,105.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.