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Finding the Fourth Proportional to 6,130, 9,186.72 and 3,352.48

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Solution

The fourth proportional to 6,130, 9,186.72 and 3,352.48 is: 5,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130 : 9,186.72 = 3,352.48 : x
  2. Step 2: Convert to fraction form
    6,130/9,186.72 = 3,352.48/x
  3. Step 3: Cross multiply
    6,130x = 9,186.72 × 3,352.48
  4. Step 4: Simplify right side
    6,130x = 30,798,295.07
  5. Step 5: Solve for x
    x = 30,798,295.07/6,130
  6. Step 6: Final answer
    x = 5,024.19

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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.