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Finding the Fourth Proportional to 12,833.04, 17,712.52 and 8,348.88

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Solution

The fourth proportional to 12,833.04, 17,712.52 and 8,348.88 is: 11,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.04 : 17,712.52 = 8,348.88 : x
  2. Step 2: Convert to fraction form
    12,833.04/17,712.52 = 8,348.88/x
  3. Step 3: Cross multiply
    12,833.04x = 17,712.52 × 8,348.88
  4. Step 4: Simplify right side
    12,833.04x = 147,879,703.98
  5. Step 5: Solve for x
    x = 147,879,703.98/12,833.04
  6. Step 6: Final answer
    x = 11,523.36

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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.