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Finding the Fourth Proportional to 9,160.48, 13,740.24 and 3,004

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Solution

The fourth proportional to 9,160.48, 13,740.24 and 3,004 is: 4,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.48 : 13,740.24 = 3,004 : x
  2. Step 2: Convert to fraction form
    9,160.48/13,740.24 = 3,004/x
  3. Step 3: Cross multiply
    9,160.48x = 13,740.24 × 3,004
  4. Step 4: Simplify right side
    9,160.48x = 41,275,680.96
  5. Step 5: Solve for x
    x = 41,275,680.96/9,160.48
  6. Step 6: Final answer
    x = 4,505.84

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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.