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Finding the Fourth Proportional to 4,647.57, 6,413.85 and 2,658.14

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Solution

The fourth proportional to 4,647.57, 6,413.85 and 2,658.14 is: 3,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.57 : 6,413.85 = 2,658.14 : x
  2. Step 2: Convert to fraction form
    4,647.57/6,413.85 = 2,658.14/x
  3. Step 3: Cross multiply
    4,647.57x = 6,413.85 × 2,658.14
  4. Step 4: Simplify right side
    4,647.57x = 17,048,879.17
  5. Step 5: Solve for x
    x = 17,048,879.17/4,647.57
  6. Step 6: Final answer
    x = 3,668.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.