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Finding the Fourth Proportional to 6,283.94, 9,424.20 and 1,900.22

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Solution

The fourth proportional to 6,283.94, 9,424.20 and 1,900.22 is: 2,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.94 : 9,424.20 = 1,900.22 : x
  2. Step 2: Convert to fraction form
    6,283.94/9,424.20 = 1,900.22/x
  3. Step 3: Cross multiply
    6,283.94x = 9,424.20 × 1,900.22
  4. Step 4: Simplify right side
    6,283.94x = 17,908,053.32
  5. Step 5: Solve for x
    x = 17,908,053.32/6,283.94
  6. Step 6: Final answer
    x = 2,849.81

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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.