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Finding the Fourth Proportional to 7,110.42, 9,825.41 and 6,769.01

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Solution

The fourth proportional to 7,110.42, 9,825.41 and 6,769.01 is: 9,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.42 : 9,825.41 = 6,769.01 : x
  2. Step 2: Convert to fraction form
    7,110.42/9,825.41 = 6,769.01/x
  3. Step 3: Cross multiply
    7,110.42x = 9,825.41 × 6,769.01
  4. Step 4: Simplify right side
    7,110.42x = 66,508,266.34
  5. Step 5: Solve for x
    x = 66,508,266.34/7,110.42
  6. Step 6: Final answer
    x = 9,353.63

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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.