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Finding the Fourth Proportional to 7,191, 9,922.50 and 4,047.12

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Solution

The fourth proportional to 7,191, 9,922.50 and 4,047.12 is: 5,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191 : 9,922.50 = 4,047.12 : x
  2. Step 2: Convert to fraction form
    7,191/9,922.50 = 4,047.12/x
  3. Step 3: Cross multiply
    7,191x = 9,922.50 × 4,047.12
  4. Step 4: Simplify right side
    7,191x = 40,157,548.20
  5. Step 5: Solve for x
    x = 40,157,548.20/7,191
  6. Step 6: Final answer
    x = 5,584.42

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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.