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Finding the Fourth Proportional to 12,799.63, 17,661.35 and 7,133.14

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Solution

The fourth proportional to 12,799.63, 17,661.35 and 7,133.14 is: 9,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.63 : 17,661.35 = 7,133.14 : x
  2. Step 2: Convert to fraction form
    12,799.63/17,661.35 = 7,133.14/x
  3. Step 3: Cross multiply
    12,799.63x = 17,661.35 × 7,133.14
  4. Step 4: Simplify right side
    12,799.63x = 125,980,922.05
  5. Step 5: Solve for x
    x = 125,980,922.05/12,799.63
  6. Step 6: Final answer
    x = 9,842.54

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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.