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Finding the Fourth Proportional to 6,209.33, 9,307.31 and 2,509.65

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Solution

The fourth proportional to 6,209.33, 9,307.31 and 2,509.65 is: 3,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.33 : 9,307.31 = 2,509.65 : x
  2. Step 2: Convert to fraction form
    6,209.33/9,307.31 = 2,509.65/x
  3. Step 3: Cross multiply
    6,209.33x = 9,307.31 × 2,509.65
  4. Step 4: Simplify right side
    6,209.33x = 23,358,077.99
  5. Step 5: Solve for x
    x = 23,358,077.99/6,209.33
  6. Step 6: Final answer
    x = 3,761.77

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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.