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Finding the Fourth Proportional to 9,295.80, 13,943.37 and 2,275.83

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Solution

The fourth proportional to 9,295.80, 13,943.37 and 2,275.83 is: 3,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.80 : 13,943.37 = 2,275.83 : x
  2. Step 2: Convert to fraction form
    9,295.80/13,943.37 = 2,275.83/x
  3. Step 3: Cross multiply
    9,295.80x = 13,943.37 × 2,275.83
  4. Step 4: Simplify right side
    9,295.80x = 31,732,748.28
  5. Step 5: Solve for x
    x = 31,732,748.28/9,295.80
  6. Step 6: Final answer
    x = 3,413.67

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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.