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Finding the Fourth Proportional to 6,230.10, 9,346.68 and 5,132.16

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Solution

The fourth proportional to 6,230.10, 9,346.68 and 5,132.16 is: 7,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.10 : 9,346.68 = 5,132.16 : x
  2. Step 2: Convert to fraction form
    6,230.10/9,346.68 = 5,132.16/x
  3. Step 3: Cross multiply
    6,230.10x = 9,346.68 × 5,132.16
  4. Step 4: Simplify right side
    6,230.10x = 47,968,657.23
  5. Step 5: Solve for x
    x = 47,968,657.23/6,230.10
  6. Step 6: Final answer
    x = 7,699.50

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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.