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Finding the Fourth Proportional to 6,666.66, 9,999.90 and 2,284.11

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Solution

The fourth proportional to 6,666.66, 9,999.90 and 2,284.11 is: 3,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.66 : 9,999.90 = 2,284.11 : x
  2. Step 2: Convert to fraction form
    6,666.66/9,999.90 = 2,284.11/x
  3. Step 3: Cross multiply
    6,666.66x = 9,999.90 × 2,284.11
  4. Step 4: Simplify right side
    6,666.66x = 22,840,871.59
  5. Step 5: Solve for x
    x = 22,840,871.59/6,666.66
  6. Step 6: Final answer
    x = 3,426.13

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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.