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Finding the Fourth Proportional to 4,646.04, 6,413.22 and 3,074.64

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Solution

The fourth proportional to 4,646.04, 6,413.22 and 3,074.64 is: 4,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.04 : 6,413.22 = 3,074.64 : x
  2. Step 2: Convert to fraction form
    4,646.04/6,413.22 = 3,074.64/x
  3. Step 3: Cross multiply
    4,646.04x = 6,413.22 × 3,074.64
  4. Step 4: Simplify right side
    4,646.04x = 19,718,342.74
  5. Step 5: Solve for x
    x = 19,718,342.74/4,646.04
  6. Step 6: Final answer
    x = 4,244.12

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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.