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Finding the Fourth Proportional to 6,257.60, 9,384.99 and 1,874.49

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Solution

The fourth proportional to 6,257.60, 9,384.99 and 1,874.49 is: 2,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.60 : 9,384.99 = 1,874.49 : x
  2. Step 2: Convert to fraction form
    6,257.60/9,384.99 = 1,874.49/x
  3. Step 3: Cross multiply
    6,257.60x = 9,384.99 × 1,874.49
  4. Step 4: Simplify right side
    6,257.60x = 17,592,069.91
  5. Step 5: Solve for x
    x = 17,592,069.91/6,257.60
  6. Step 6: Final answer
    x = 2,811.31

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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.