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Finding the Fourth Proportional to 6,283.88, 9,424.86 and 1,666.84

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Solution

The fourth proportional to 6,283.88, 9,424.86 and 1,666.84 is: 2,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.88 : 9,424.86 = 1,666.84 : x
  2. Step 2: Convert to fraction form
    6,283.88/9,424.86 = 1,666.84/x
  3. Step 3: Cross multiply
    6,283.88x = 9,424.86 × 1,666.84
  4. Step 4: Simplify right side
    6,283.88x = 15,709,733.64
  5. Step 5: Solve for x
    x = 15,709,733.64/6,283.88
  6. Step 6: Final answer
    x = 2,500.01

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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.