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Finding the Fourth Proportional to 17,530.70, 26,280.44 and 6,434.82

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Solution

The fourth proportional to 17,530.70, 26,280.44 and 6,434.82 is: 9,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.70 : 26,280.44 = 6,434.82 : x
  2. Step 2: Convert to fraction form
    17,530.70/26,280.44 = 6,434.82/x
  3. Step 3: Cross multiply
    17,530.70x = 26,280.44 × 6,434.82
  4. Step 4: Simplify right side
    17,530.70x = 169,109,900.92
  5. Step 5: Solve for x
    x = 169,109,900.92/17,530.70
  6. Step 6: Final answer
    x = 9,646.50

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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.