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Finding the Fourth Proportional to 9,243, 12,753.86 and 5,209.34

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Solution

The fourth proportional to 9,243, 12,753.86 and 5,209.34 is: 7,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243 : 12,753.86 = 5,209.34 : x
  2. Step 2: Convert to fraction form
    9,243/12,753.86 = 5,209.34/x
  3. Step 3: Cross multiply
    9,243x = 12,753.86 × 5,209.34
  4. Step 4: Simplify right side
    9,243x = 66,439,193.05
  5. Step 5: Solve for x
    x = 66,439,193.05/9,243
  6. Step 6: Final answer
    x = 7,188.06

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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.