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Finding the Fourth Proportional to 6,048.81, 9,072 and 1,666.44

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Solution

The fourth proportional to 6,048.81, 9,072 and 1,666.44 is: 2,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.81 : 9,072 = 1,666.44 : x
  2. Step 2: Convert to fraction form
    6,048.81/9,072 = 1,666.44/x
  3. Step 3: Cross multiply
    6,048.81x = 9,072 × 1,666.44
  4. Step 4: Simplify right side
    6,048.81x = 15,117,943.68
  5. Step 5: Solve for x
    x = 15,117,943.68/6,048.81
  6. Step 6: Final answer
    x = 2,499.33

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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.