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Finding the Fourth Proportional to 24,977.80, 37,466.70 and 6,509.80

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Solution

The fourth proportional to 24,977.80, 37,466.70 and 6,509.80 is: 9,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.80 : 37,466.70 = 6,509.80 : x
  2. Step 2: Convert to fraction form
    24,977.80/37,466.70 = 6,509.80/x
  3. Step 3: Cross multiply
    24,977.80x = 37,466.70 × 6,509.80
  4. Step 4: Simplify right side
    24,977.80x = 243,900,723.66
  5. Step 5: Solve for x
    x = 243,900,723.66/24,977.80
  6. Step 6: Final answer
    x = 9,764.70

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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.