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Finding the Fourth Proportional to 4,010.76, 6,016.14 and 1,413.08

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Solution

The fourth proportional to 4,010.76, 6,016.14 and 1,413.08 is: 2,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.76 : 6,016.14 = 1,413.08 : x
  2. Step 2: Convert to fraction form
    4,010.76/6,016.14 = 1,413.08/x
  3. Step 3: Cross multiply
    4,010.76x = 6,016.14 × 1,413.08
  4. Step 4: Simplify right side
    4,010.76x = 8,501,287.11
  5. Step 5: Solve for x
    x = 8,501,287.11/4,010.76
  6. Step 6: Final answer
    x = 2,119.62

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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.