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Finding the Fourth Proportional to 6,753.70, 10,130.07 and 1,823.62

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Solution

The fourth proportional to 6,753.70, 10,130.07 and 1,823.62 is: 2,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.70 : 10,130.07 = 1,823.62 : x
  2. Step 2: Convert to fraction form
    6,753.70/10,130.07 = 1,823.62/x
  3. Step 3: Cross multiply
    6,753.70x = 10,130.07 × 1,823.62
  4. Step 4: Simplify right side
    6,753.70x = 18,473,398.25
  5. Step 5: Solve for x
    x = 18,473,398.25/6,753.70
  6. Step 6: Final answer
    x = 2,735.30

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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.