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Finding the Fourth Proportional to 6,575.72, 9,865.88 and 4,107.65

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Solution

The fourth proportional to 6,575.72, 9,865.88 and 4,107.65 is: 6,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.72 : 9,865.88 = 4,107.65 : x
  2. Step 2: Convert to fraction form
    6,575.72/9,865.88 = 4,107.65/x
  3. Step 3: Cross multiply
    6,575.72x = 9,865.88 × 4,107.65
  4. Step 4: Simplify right side
    6,575.72x = 40,525,581.98
  5. Step 5: Solve for x
    x = 40,525,581.98/6,575.72
  6. Step 6: Final answer
    x = 6,162.91

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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.