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Finding the Fourth Proportional to 4,658.48, 7,015.46 and 4,201.52

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Solution

The fourth proportional to 4,658.48, 7,015.46 and 4,201.52 is: 6,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.48 : 7,015.46 = 4,201.52 : x
  2. Step 2: Convert to fraction form
    4,658.48/7,015.46 = 4,201.52/x
  3. Step 3: Cross multiply
    4,658.48x = 7,015.46 × 4,201.52
  4. Step 4: Simplify right side
    4,658.48x = 29,475,595.50
  5. Step 5: Solve for x
    x = 29,475,595.50/4,658.48
  6. Step 6: Final answer
    x = 6,327.30

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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.