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Finding the Fourth Proportional to 6,484.66, 9,736.00 and 4,505.63

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Solution

The fourth proportional to 6,484.66, 9,736.00 and 4,505.63 is: 6,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.66 : 9,736.00 = 4,505.63 : x
  2. Step 2: Convert to fraction form
    6,484.66/9,736.00 = 4,505.63/x
  3. Step 3: Cross multiply
    6,484.66x = 9,736.00 × 4,505.63
  4. Step 4: Simplify right side
    6,484.66x = 43,866,753.74
  5. Step 5: Solve for x
    x = 43,866,753.74/6,484.66
  6. Step 6: Final answer
    x = 6,764.70

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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.