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Finding the Fourth Proportional to 6,554.11, 9,829.42 and 4,473.74

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Solution

The fourth proportional to 6,554.11, 9,829.42 and 4,473.74 is: 6,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.11 : 9,829.42 = 4,473.74 : x
  2. Step 2: Convert to fraction form
    6,554.11/9,829.42 = 4,473.74/x
  3. Step 3: Cross multiply
    6,554.11x = 9,829.42 × 4,473.74
  4. Step 4: Simplify right side
    6,554.11x = 43,974,269.43
  5. Step 5: Solve for x
    x = 43,974,269.43/6,554.11
  6. Step 6: Final answer
    x = 6,709.42

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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.