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Finding the Fourth Proportional to 12,835.14, 17,716.68 and 7,529.82

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Solution

The fourth proportional to 12,835.14, 17,716.68 and 7,529.82 is: 10,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.14 : 17,716.68 = 7,529.82 : x
  2. Step 2: Convert to fraction form
    12,835.14/17,716.68 = 7,529.82/x
  3. Step 3: Cross multiply
    12,835.14x = 17,716.68 × 7,529.82
  4. Step 4: Simplify right side
    12,835.14x = 133,403,411.40
  5. Step 5: Solve for x
    x = 133,403,411.40/12,835.14
  6. Step 6: Final answer
    x = 10,393.61

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1.5x scale

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.