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Finding the Fourth Proportional to 6,299, 9,449.72 and 3,529.60

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Solution

The fourth proportional to 6,299, 9,449.72 and 3,529.60 is: 5,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299 : 9,449.72 = 3,529.60 : x
  2. Step 2: Convert to fraction form
    6,299/9,449.72 = 3,529.60/x
  3. Step 3: Cross multiply
    6,299x = 9,449.72 × 3,529.60
  4. Step 4: Simplify right side
    6,299x = 33,353,731.71
  5. Step 5: Solve for x
    x = 33,353,731.71/6,299
  6. Step 6: Final answer
    x = 5,295.08

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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.