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Finding the Fourth Proportional to 12,835.80, 17,713.14 and 7,246.80

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Solution

The fourth proportional to 12,835.80, 17,713.14 and 7,246.80 is: 10,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.80 : 17,713.14 = 7,246.80 : x
  2. Step 2: Convert to fraction form
    12,835.80/17,713.14 = 7,246.80/x
  3. Step 3: Cross multiply
    12,835.80x = 17,713.14 × 7,246.80
  4. Step 4: Simplify right side
    12,835.80x = 128,363,582.95
  5. Step 5: Solve for x
    x = 128,363,582.95/12,835.80
  6. Step 6: Final answer
    x = 10,000.43

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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.