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Finding the Fourth Proportional to 12,835.96, 17,737.98 and 9,262.65

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Solution

The fourth proportional to 12,835.96, 17,737.98 and 9,262.65 is: 12,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.96 : 17,737.98 = 9,262.65 : x
  2. Step 2: Convert to fraction form
    12,835.96/17,737.98 = 9,262.65/x
  3. Step 3: Cross multiply
    12,835.96x = 17,737.98 × 9,262.65
  4. Step 4: Simplify right side
    12,835.96x = 164,300,668.66
  5. Step 5: Solve for x
    x = 164,300,668.66/12,835.96
  6. Step 6: Final answer
    x = 12,800.03

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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.