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Finding the Fourth Proportional to 12,994.80, 19,491.88 and 5,201.52

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Solution

The fourth proportional to 12,994.80, 19,491.88 and 5,201.52 is: 7,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.80 : 19,491.88 = 5,201.52 : x
  2. Step 2: Convert to fraction form
    12,994.80/19,491.88 = 5,201.52/x
  3. Step 3: Cross multiply
    12,994.80x = 19,491.88 × 5,201.52
  4. Step 4: Simplify right side
    12,994.80x = 101,387,403.66
  5. Step 5: Solve for x
    x = 101,387,403.66/12,994.80
  6. Step 6: Final answer
    x = 7,802.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.