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Finding the Fourth Proportional to 8,369, 11,549.76 and 4,643

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Solution

The fourth proportional to 8,369, 11,549.76 and 4,643 is: 6,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369 : 11,549.76 = 4,643 : x
  2. Step 2: Convert to fraction form
    8,369/11,549.76 = 4,643/x
  3. Step 3: Cross multiply
    8,369x = 11,549.76 × 4,643
  4. Step 4: Simplify right side
    8,369x = 53,625,535.68
  5. Step 5: Solve for x
    x = 53,625,535.68/8,369
  6. Step 6: Final answer
    x = 6,407.64

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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.