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Finding the Fourth Proportional to 5,147.78, 7,676.47 and 5,101.01

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Solution

The fourth proportional to 5,147.78, 7,676.47 and 5,101.01 is: 7,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.78 : 7,676.47 = 5,101.01 : x
  2. Step 2: Convert to fraction form
    5,147.78/7,676.47 = 5,101.01/x
  3. Step 3: Cross multiply
    5,147.78x = 7,676.47 × 5,101.01
  4. Step 4: Simplify right side
    5,147.78x = 39,157,750.23
  5. Step 5: Solve for x
    x = 39,157,750.23/5,147.78
  6. Step 6: Final answer
    x = 7,606.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.