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Finding the Fourth Proportional to 10,813.80, 16,211.10 and 9,647.40

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Solution

The fourth proportional to 10,813.80, 16,211.10 and 9,647.40 is: 14,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.80 : 16,211.10 = 9,647.40 : x
  2. Step 2: Convert to fraction form
    10,813.80/16,211.10 = 9,647.40/x
  3. Step 3: Cross multiply
    10,813.80x = 16,211.10 × 9,647.40
  4. Step 4: Simplify right side
    10,813.80x = 156,394,966.14
  5. Step 5: Solve for x
    x = 156,394,966.14/10,813.80
  6. Step 6: Final answer
    x = 14,462.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.