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Finding the Fourth Proportional to 6,961.66, 9,607.20 and 3,817.64

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Solution

The fourth proportional to 6,961.66, 9,607.20 and 3,817.64 is: 5,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.66 : 9,607.20 = 3,817.64 : x
  2. Step 2: Convert to fraction form
    6,961.66/9,607.20 = 3,817.64/x
  3. Step 3: Cross multiply
    6,961.66x = 9,607.20 × 3,817.64
  4. Step 4: Simplify right side
    6,961.66x = 36,676,831.01
  5. Step 5: Solve for x
    x = 36,676,831.01/6,961.66
  6. Step 6: Final answer
    x = 5,268.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.