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Finding the Fourth Proportional to 13,625, 18,802.33 and 7,657.68

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Solution

The fourth proportional to 13,625, 18,802.33 and 7,657.68 is: 10,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625 : 18,802.33 = 7,657.68 : x
  2. Step 2: Convert to fraction form
    13,625/18,802.33 = 7,657.68/x
  3. Step 3: Cross multiply
    13,625x = 18,802.33 × 7,657.68
  4. Step 4: Simplify right side
    13,625x = 143,982,226.39
  5. Step 5: Solve for x
    x = 143,982,226.39/13,625
  6. Step 6: Final answer
    x = 10,567.50

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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.