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Finding the Fourth Proportional to 7,705.80, 11,558.70 and 6,502.95

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Solution

The fourth proportional to 7,705.80, 11,558.70 and 6,502.95 is: 9,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.80 : 11,558.70 = 6,502.95 : x
  2. Step 2: Convert to fraction form
    7,705.80/11,558.70 = 6,502.95/x
  3. Step 3: Cross multiply
    7,705.80x = 11,558.70 × 6,502.95
  4. Step 4: Simplify right side
    7,705.80x = 75,165,648.17
  5. Step 5: Solve for x
    x = 75,165,648.17/7,705.80
  6. Step 6: Final answer
    x = 9,754.43

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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.