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Finding the Fourth Proportional to 9,293.87, 12,825.83 and 5,102.21

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Solution

The fourth proportional to 9,293.87, 12,825.83 and 5,102.21 is: 7,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.87 : 12,825.83 = 5,102.21 : x
  2. Step 2: Convert to fraction form
    9,293.87/12,825.83 = 5,102.21/x
  3. Step 3: Cross multiply
    9,293.87x = 12,825.83 × 5,102.21
  4. Step 4: Simplify right side
    9,293.87x = 65,440,052.57
  5. Step 5: Solve for x
    x = 65,440,052.57/9,293.87
  6. Step 6: Final answer
    x = 7,041.21

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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.