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Finding the Fourth Proportional to 6,502.66, 8,973.68 and 3,518.50

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Solution

The fourth proportional to 6,502.66, 8,973.68 and 3,518.50 is: 4,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.66 : 8,973.68 = 3,518.50 : x
  2. Step 2: Convert to fraction form
    6,502.66/8,973.68 = 3,518.50/x
  3. Step 3: Cross multiply
    6,502.66x = 8,973.68 × 3,518.50
  4. Step 4: Simplify right side
    6,502.66x = 31,573,893.08
  5. Step 5: Solve for x
    x = 31,573,893.08/6,502.66
  6. Step 6: Final answer
    x = 4,855.53

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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.