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Finding the Fourth Proportional to 12,802.12, 17,646.48 and 8,544.76

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Solution

The fourth proportional to 12,802.12, 17,646.48 and 8,544.76 is: 11,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.12 : 17,646.48 = 8,544.76 : x
  2. Step 2: Convert to fraction form
    12,802.12/17,646.48 = 8,544.76/x
  3. Step 3: Cross multiply
    12,802.12x = 17,646.48 × 8,544.76
  4. Step 4: Simplify right side
    12,802.12x = 150,784,936.44
  5. Step 5: Solve for x
    x = 150,784,936.44/12,802.12
  6. Step 6: Final answer
    x = 11,778.12

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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.