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Finding the Fourth Proportional to 8,263.70, 11,399.16 and 6,022.93

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Solution

The fourth proportional to 8,263.70, 11,399.16 and 6,022.93 is: 8,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.70 : 11,399.16 = 6,022.93 : x
  2. Step 2: Convert to fraction form
    8,263.70/11,399.16 = 6,022.93/x
  3. Step 3: Cross multiply
    8,263.70x = 11,399.16 × 6,022.93
  4. Step 4: Simplify right side
    8,263.70x = 68,656,342.74
  5. Step 5: Solve for x
    x = 68,656,342.74/8,263.70
  6. Step 6: Final answer
    x = 8,308.18

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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.