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Finding the Fourth Proportional to 12,801.75, 17,666.42 and 7,212.75

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Solution

The fourth proportional to 12,801.75, 17,666.42 and 7,212.75 is: 9,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.75 : 17,666.42 = 7,212.75 : x
  2. Step 2: Convert to fraction form
    12,801.75/17,666.42 = 7,212.75/x
  3. Step 3: Cross multiply
    12,801.75x = 17,666.42 × 7,212.75
  4. Step 4: Simplify right side
    12,801.75x = 127,423,470.86
  5. Step 5: Solve for x
    x = 127,423,470.86/12,801.75
  6. Step 6: Final answer
    x = 9,953.60

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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.