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Finding the Fourth Proportional to 6,433.93, 9,656.43 and 3,666.16

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Solution

The fourth proportional to 6,433.93, 9,656.43 and 3,666.16 is: 5,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.93 : 9,656.43 = 3,666.16 : x
  2. Step 2: Convert to fraction form
    6,433.93/9,656.43 = 3,666.16/x
  3. Step 3: Cross multiply
    6,433.93x = 9,656.43 × 3,666.16
  4. Step 4: Simplify right side
    6,433.93x = 35,401,950.80
  5. Step 5: Solve for x
    x = 35,401,950.80/6,433.93
  6. Step 6: Final answer
    x = 5,502.39

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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.