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Finding the Fourth Proportional to 6,048.09, 9,070.74 and 1,665.92

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Solution

The fourth proportional to 6,048.09, 9,070.74 and 1,665.92 is: 2,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.09 : 9,070.74 = 1,665.92 : x
  2. Step 2: Convert to fraction form
    6,048.09/9,070.74 = 1,665.92/x
  3. Step 3: Cross multiply
    6,048.09x = 9,070.74 × 1,665.92
  4. Step 4: Simplify right side
    6,048.09x = 15,111,081.83
  5. Step 5: Solve for x
    x = 15,111,081.83/6,048.09
  6. Step 6: Final answer
    x = 2,498.49

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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.