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Finding the Fourth Proportional to 6,967.42, 10,451.16 and 2,353.66

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Solution

The fourth proportional to 6,967.42, 10,451.16 and 2,353.66 is: 3,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.42 : 10,451.16 = 2,353.66 : x
  2. Step 2: Convert to fraction form
    6,967.42/10,451.16 = 2,353.66/x
  3. Step 3: Cross multiply
    6,967.42x = 10,451.16 × 2,353.66
  4. Step 4: Simplify right side
    6,967.42x = 24,598,477.25
  5. Step 5: Solve for x
    x = 24,598,477.25/6,967.42
  6. Step 6: Final answer
    x = 3,530.50

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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.