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Finding the Fourth Proportional to 6,170.10, 8,509.16 and 5,277.20

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Solution

The fourth proportional to 6,170.10, 8,509.16 and 5,277.20 is: 7,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.10 : 8,509.16 = 5,277.20 : x
  2. Step 2: Convert to fraction form
    6,170.10/8,509.16 = 5,277.20/x
  3. Step 3: Cross multiply
    6,170.10x = 8,509.16 × 5,277.20
  4. Step 4: Simplify right side
    6,170.10x = 44,904,539.15
  5. Step 5: Solve for x
    x = 44,904,539.15/6,170.10
  6. Step 6: Final answer
    x = 7,277.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.