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Finding the Fourth Proportional to 12,959.40, 17,877.84 and 7,650.68

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Solution

The fourth proportional to 12,959.40, 17,877.84 and 7,650.68 is: 10,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.40 : 17,877.84 = 7,650.68 : x
  2. Step 2: Convert to fraction form
    12,959.40/17,877.84 = 7,650.68/x
  3. Step 3: Cross multiply
    12,959.40x = 17,877.84 × 7,650.68
  4. Step 4: Simplify right side
    12,959.40x = 136,777,632.93
  5. Step 5: Solve for x
    x = 136,777,632.93/12,959.40
  6. Step 6: Final answer
    x = 10,554.32

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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.