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Finding the Fourth Proportional to 6,097.50, 8,411.31 and 4,104.66

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Solution

The fourth proportional to 6,097.50, 8,411.31 and 4,104.66 is: 5,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.50 : 8,411.31 = 4,104.66 : x
  2. Step 2: Convert to fraction form
    6,097.50/8,411.31 = 4,104.66/x
  3. Step 3: Cross multiply
    6,097.50x = 8,411.31 × 4,104.66
  4. Step 4: Simplify right side
    6,097.50x = 34,525,567.70
  5. Step 5: Solve for x
    x = 34,525,567.70/6,097.50
  6. Step 6: Final answer
    x = 5,662.25

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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.