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Finding the Fourth Proportional to 6,569.04, 9,846.24 and 3,284.88

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Solution

The fourth proportional to 6,569.04, 9,846.24 and 3,284.88 is: 4,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.04 : 9,846.24 = 3,284.88 : x
  2. Step 2: Convert to fraction form
    6,569.04/9,846.24 = 3,284.88/x
  3. Step 3: Cross multiply
    6,569.04x = 9,846.24 × 3,284.88
  4. Step 4: Simplify right side
    6,569.04x = 32,343,716.85
  5. Step 5: Solve for x
    x = 32,343,716.85/6,569.04
  6. Step 6: Final answer
    x = 4,923.66

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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.