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Finding the Fourth Proportional to 9,949.59, 14,930.99 and 5,509.11

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Solution

The fourth proportional to 9,949.59, 14,930.99 and 5,509.11 is: 8,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.59 : 14,930.99 = 5,509.11 : x
  2. Step 2: Convert to fraction form
    9,949.59/14,930.99 = 5,509.11/x
  3. Step 3: Cross multiply
    9,949.59x = 14,930.99 × 5,509.11
  4. Step 4: Simplify right side
    9,949.59x = 82,256,438.77
  5. Step 5: Solve for x
    x = 82,256,438.77/9,949.59
  6. Step 6: Final answer
    x = 8,267.32

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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.