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Finding the Fourth Proportional to 7,083, 9,774.22 and 4,252.05

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Solution

The fourth proportional to 7,083, 9,774.22 and 4,252.05 is: 5,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 9,774.22 = 4,252.05 : x
  2. Step 2: Convert to fraction form
    7,083/9,774.22 = 4,252.05/x
  3. Step 3: Cross multiply
    7,083x = 9,774.22 × 4,252.05
  4. Step 4: Simplify right side
    7,083x = 41,560,472.15
  5. Step 5: Solve for x
    x = 41,560,472.15/7,083
  6. Step 6: Final answer
    x = 5,867.64

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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.