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Finding the Fourth Proportional to 6,291.77, 9,437.94 and 1,909.26

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Solution

The fourth proportional to 6,291.77, 9,437.94 and 1,909.26 is: 2,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.77 : 9,437.94 = 1,909.26 : x
  2. Step 2: Convert to fraction form
    6,291.77/9,437.94 = 1,909.26/x
  3. Step 3: Cross multiply
    6,291.77x = 9,437.94 × 1,909.26
  4. Step 4: Simplify right side
    6,291.77x = 18,019,481.32
  5. Step 5: Solve for x
    x = 18,019,481.32/6,291.77
  6. Step 6: Final answer
    x = 2,863.98

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1.5x scale

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.