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Finding the Fourth Proportional to 9,687.70, 14,530.83 and 5,789.17

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Solution

The fourth proportional to 9,687.70, 14,530.83 and 5,789.17 is: 8,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.70 : 14,530.83 = 5,789.17 : x
  2. Step 2: Convert to fraction form
    9,687.70/14,530.83 = 5,789.17/x
  3. Step 3: Cross multiply
    9,687.70x = 14,530.83 × 5,789.17
  4. Step 4: Simplify right side
    9,687.70x = 84,121,445.11
  5. Step 5: Solve for x
    x = 84,121,445.11/9,687.70
  6. Step 6: Final answer
    x = 8,683.32

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1.5x scale

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.