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Finding the Fourth Proportional to 6,328.25, 9,484.04 and 5,502.59

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Solution

The fourth proportional to 6,328.25, 9,484.04 and 5,502.59 is: 8,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.25 : 9,484.04 = 5,502.59 : x
  2. Step 2: Convert to fraction form
    6,328.25/9,484.04 = 5,502.59/x
  3. Step 3: Cross multiply
    6,328.25x = 9,484.04 × 5,502.59
  4. Step 4: Simplify right side
    6,328.25x = 52,186,756.15
  5. Step 5: Solve for x
    x = 52,186,756.15/6,328.25
  6. Step 6: Final answer
    x = 8,246.63

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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.