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Finding the Fourth Proportional to 7,107.61, 9,811.21 and 5,344.34

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Solution

The fourth proportional to 7,107.61, 9,811.21 and 5,344.34 is: 7,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.61 : 9,811.21 = 5,344.34 : x
  2. Step 2: Convert to fraction form
    7,107.61/9,811.21 = 5,344.34/x
  3. Step 3: Cross multiply
    7,107.61x = 9,811.21 × 5,344.34
  4. Step 4: Simplify right side
    7,107.61x = 52,434,442.05
  5. Step 5: Solve for x
    x = 52,434,442.05/7,107.61
  6. Step 6: Final answer
    x = 7,377.23

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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.