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Finding the Fourth Proportional to 8,950.16, 13,422.50 and 4,267.70

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Solution

The fourth proportional to 8,950.16, 13,422.50 and 4,267.70 is: 6,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950.16 : 13,422.50 = 4,267.70 : x
  2. Step 2: Convert to fraction form
    8,950.16/13,422.50 = 4,267.70/x
  3. Step 3: Cross multiply
    8,950.16x = 13,422.50 × 4,267.70
  4. Step 4: Simplify right side
    8,950.16x = 57,283,203.25
  5. Step 5: Solve for x
    x = 57,283,203.25/8,950.16
  6. Step 6: Final answer
    x = 6,400.24

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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.