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Finding the Fourth Proportional to 6,677, 10,000.58 and 4,723.24

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Solution

The fourth proportional to 6,677, 10,000.58 and 4,723.24 is: 7,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677 : 10,000.58 = 4,723.24 : x
  2. Step 2: Convert to fraction form
    6,677/10,000.58 = 4,723.24/x
  3. Step 3: Cross multiply
    6,677x = 10,000.58 × 4,723.24
  4. Step 4: Simplify right side
    6,677x = 47,235,139.48
  5. Step 5: Solve for x
    x = 47,235,139.48/6,677
  6. Step 6: Final answer
    x = 7,074.31

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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.