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Finding the Fourth Proportional to 6,051.48, 9,076.12 and 1,668

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Solution

The fourth proportional to 6,051.48, 9,076.12 and 1,668 is: 2,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.48 : 9,076.12 = 1,668 : x
  2. Step 2: Convert to fraction form
    6,051.48/9,076.12 = 1,668/x
  3. Step 3: Cross multiply
    6,051.48x = 9,076.12 × 1,668
  4. Step 4: Simplify right side
    6,051.48x = 15,138,968.16
  5. Step 5: Solve for x
    x = 15,138,968.16/6,051.48
  6. Step 6: Final answer
    x = 2,501.70

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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.