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Finding the Fourth Proportional to 6,283.05, 9,426.06 and 1,900.55

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Solution

The fourth proportional to 6,283.05, 9,426.06 and 1,900.55 is: 2,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.05 : 9,426.06 = 1,900.55 : x
  2. Step 2: Convert to fraction form
    6,283.05/9,426.06 = 1,900.55/x
  3. Step 3: Cross multiply
    6,283.05x = 9,426.06 × 1,900.55
  4. Step 4: Simplify right side
    6,283.05x = 17,914,651.20
  5. Step 5: Solve for x
    x = 17,914,651.20/6,283.05
  6. Step 6: Final answer
    x = 2,851.27

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Double scale
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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.