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Finding the Fourth Proportional to 6,967.48, 10,451.22 and 6,561.76

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Solution

The fourth proportional to 6,967.48, 10,451.22 and 6,561.76 is: 9,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.48 : 10,451.22 = 6,561.76 : x
  2. Step 2: Convert to fraction form
    6,967.48/10,451.22 = 6,561.76/x
  3. Step 3: Cross multiply
    6,967.48x = 10,451.22 × 6,561.76
  4. Step 4: Simplify right side
    6,967.48x = 68,578,397.35
  5. Step 5: Solve for x
    x = 68,578,397.35/6,967.48
  6. Step 6: Final answer
    x = 9,842.64

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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.