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Finding the Fourth Proportional to 6,842.10, 10,266.16 and 6,546.84

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Solution

The fourth proportional to 6,842.10, 10,266.16 and 6,546.84 is: 9,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.10 : 10,266.16 = 6,546.84 : x
  2. Step 2: Convert to fraction form
    6,842.10/10,266.16 = 6,546.84/x
  3. Step 3: Cross multiply
    6,842.10x = 10,266.16 × 6,546.84
  4. Step 4: Simplify right side
    6,842.10x = 67,210,906.93
  5. Step 5: Solve for x
    x = 67,210,906.93/6,842.10
  6. Step 6: Final answer
    x = 9,823.14

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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.