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Finding the Fourth Proportional to 9,745.40, 13,439.82 and 6,387

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Solution

The fourth proportional to 9,745.40, 13,439.82 and 6,387 is: 8,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.40 : 13,439.82 = 6,387 : x
  2. Step 2: Convert to fraction form
    9,745.40/13,439.82 = 6,387/x
  3. Step 3: Cross multiply
    9,745.40x = 13,439.82 × 6,387
  4. Step 4: Simplify right side
    9,745.40x = 85,840,130.34
  5. Step 5: Solve for x
    x = 85,840,130.34/9,745.40
  6. Step 6: Final answer
    x = 8,808.27

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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.