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Finding the Fourth Proportional to 4,606.47, 6,906.06 and 4,600.80

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Solution

The fourth proportional to 4,606.47, 6,906.06 and 4,600.80 is: 6,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.47 : 6,906.06 = 4,600.80 : x
  2. Step 2: Convert to fraction form
    4,606.47/6,906.06 = 4,600.80/x
  3. Step 3: Cross multiply
    4,606.47x = 6,906.06 × 4,600.80
  4. Step 4: Simplify right side
    4,606.47x = 31,773,400.85
  5. Step 5: Solve for x
    x = 31,773,400.85/4,606.47
  6. Step 6: Final answer
    x = 6,897.56

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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.