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Finding the Fourth Proportional to 4,646.90, 6,413.12 and 2,551.42

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Solution

The fourth proportional to 4,646.90, 6,413.12 and 2,551.42 is: 3,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.90 : 6,413.12 = 2,551.42 : x
  2. Step 2: Convert to fraction form
    4,646.90/6,413.12 = 2,551.42/x
  3. Step 3: Cross multiply
    4,646.90x = 6,413.12 × 2,551.42
  4. Step 4: Simplify right side
    4,646.90x = 16,362,562.63
  5. Step 5: Solve for x
    x = 16,362,562.63/4,646.90
  6. Step 6: Final answer
    x = 3,521.18

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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.