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Finding the Fourth Proportional to 6,411.09, 9,621.48 and 4,326.15

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Solution

The fourth proportional to 6,411.09, 9,621.48 and 4,326.15 is: 6,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.09 : 9,621.48 = 4,326.15 : x
  2. Step 2: Convert to fraction form
    6,411.09/9,621.48 = 4,326.15/x
  3. Step 3: Cross multiply
    6,411.09x = 9,621.48 × 4,326.15
  4. Step 4: Simplify right side
    6,411.09x = 41,623,965.70
  5. Step 5: Solve for x
    x = 41,623,965.70/6,411.09
  6. Step 6: Final answer
    x = 6,492.49

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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.