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Finding the Fourth Proportional to 8,139.76, 11,232.86 and 4,413.76

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Solution

The fourth proportional to 8,139.76, 11,232.86 and 4,413.76 is: 6,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.76 : 11,232.86 = 4,413.76 : x
  2. Step 2: Convert to fraction form
    8,139.76/11,232.86 = 4,413.76/x
  3. Step 3: Cross multiply
    8,139.76x = 11,232.86 × 4,413.76
  4. Step 4: Simplify right side
    8,139.76x = 49,579,148.15
  5. Step 5: Solve for x
    x = 49,579,148.15/8,139.76
  6. Step 6: Final answer
    x = 6,090.98

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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.