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Finding the Fourth Proportional to 6,500.22, 9,683.82 and 6,186.74

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Solution

The fourth proportional to 6,500.22, 9,683.82 and 6,186.74 is: 9,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.22 : 9,683.82 = 6,186.74 : x
  2. Step 2: Convert to fraction form
    6,500.22/9,683.82 = 6,186.74/x
  3. Step 3: Cross multiply
    6,500.22x = 9,683.82 × 6,186.74
  4. Step 4: Simplify right side
    6,500.22x = 59,911,276.55
  5. Step 5: Solve for x
    x = 59,911,276.55/6,500.22
  6. Step 6: Final answer
    x = 9,216.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.