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Finding the Fourth Proportional to 4,705.78, 6,523.72 and 4,456.11

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Solution

The fourth proportional to 4,705.78, 6,523.72 and 4,456.11 is: 6,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.78 : 6,523.72 = 4,456.11 : x
  2. Step 2: Convert to fraction form
    4,705.78/6,523.72 = 4,456.11/x
  3. Step 3: Cross multiply
    4,705.78x = 6,523.72 × 4,456.11
  4. Step 4: Simplify right side
    4,705.78x = 29,070,413.93
  5. Step 5: Solve for x
    x = 29,070,413.93/4,705.78
  6. Step 6: Final answer
    x = 6,177.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.