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Finding the Fourth Proportional to 9,950.10, 13,730.49 and 5,473.68

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Solution

The fourth proportional to 9,950.10, 13,730.49 and 5,473.68 is: 7,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.10 : 13,730.49 = 5,473.68 : x
  2. Step 2: Convert to fraction form
    9,950.10/13,730.49 = 5,473.68/x
  3. Step 3: Cross multiply
    9,950.10x = 13,730.49 × 5,473.68
  4. Step 4: Simplify right side
    9,950.10x = 75,156,308.50
  5. Step 5: Solve for x
    x = 75,156,308.50/9,950.10
  6. Step 6: Final answer
    x = 7,553.32

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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.