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Finding the Fourth Proportional to 10,605.85, 15,884.55 and 5,063.09

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Solution

The fourth proportional to 10,605.85, 15,884.55 and 5,063.09 is: 7,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.85 : 15,884.55 = 5,063.09 : x
  2. Step 2: Convert to fraction form
    10,605.85/15,884.55 = 5,063.09/x
  3. Step 3: Cross multiply
    10,605.85x = 15,884.55 × 5,063.09
  4. Step 4: Simplify right side
    10,605.85x = 80,424,826.84
  5. Step 5: Solve for x
    x = 80,424,826.84/10,605.85
  6. Step 6: Final answer
    x = 7,583.06

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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.