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Finding the Fourth Proportional to 6,291.83, 9,437.73 and 1,611.66

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Solution

The fourth proportional to 6,291.83, 9,437.73 and 1,611.66 is: 2,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.83 : 9,437.73 = 1,611.66 : x
  2. Step 2: Convert to fraction form
    6,291.83/9,437.73 = 1,611.66/x
  3. Step 3: Cross multiply
    6,291.83x = 9,437.73 × 1,611.66
  4. Step 4: Simplify right side
    6,291.83x = 15,210,411.93
  5. Step 5: Solve for x
    x = 15,210,411.93/6,291.83
  6. Step 6: Final answer
    x = 2,417.49

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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.