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Finding the Fourth Proportional to 6,417, 9,597.71 and 3,778.22

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Solution

The fourth proportional to 6,417, 9,597.71 and 3,778.22 is: 5,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417 : 9,597.71 = 3,778.22 : x
  2. Step 2: Convert to fraction form
    6,417/9,597.71 = 3,778.22/x
  3. Step 3: Cross multiply
    6,417x = 9,597.71 × 3,778.22
  4. Step 4: Simplify right side
    6,417x = 36,262,193.00
  5. Step 5: Solve for x
    x = 36,262,193.00/6,417
  6. Step 6: Final answer
    x = 5,650.96

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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.