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Finding the Fourth Proportional to 11,762.20, 17,627.10 and 7,802.20

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Solution

The fourth proportional to 11,762.20, 17,627.10 and 7,802.20 is: 11,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.20 : 17,627.10 = 7,802.20 : x
  2. Step 2: Convert to fraction form
    11,762.20/17,627.10 = 7,802.20/x
  3. Step 3: Cross multiply
    11,762.20x = 17,627.10 × 7,802.20
  4. Step 4: Simplify right side
    11,762.20x = 137,530,159.62
  5. Step 5: Solve for x
    x = 137,530,159.62/11,762.20
  6. Step 6: Final answer
    x = 11,692.55

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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.