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Finding the Fourth Proportional to 6,152.57, 8,489.70 and 3,499.47

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Solution

The fourth proportional to 6,152.57, 8,489.70 and 3,499.47 is: 4,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.57 : 8,489.70 = 3,499.47 : x
  2. Step 2: Convert to fraction form
    6,152.57/8,489.70 = 3,499.47/x
  3. Step 3: Cross multiply
    6,152.57x = 8,489.70 × 3,499.47
  4. Step 4: Simplify right side
    6,152.57x = 29,709,450.46
  5. Step 5: Solve for x
    x = 29,709,450.46/6,152.57
  6. Step 6: Final answer
    x = 4,828.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.