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Finding the Fourth Proportional to 34,577.60, 51,859.20 and 9,611.20

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Solution

The fourth proportional to 34,577.60, 51,859.20 and 9,611.20 is: 14,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,577.60 : 51,859.20 = 9,611.20 : x
  2. Step 2: Convert to fraction form
    34,577.60/51,859.20 = 9,611.20/x
  3. Step 3: Cross multiply
    34,577.60x = 51,859.20 × 9,611.20
  4. Step 4: Simplify right side
    34,577.60x = 498,429,143.04
  5. Step 5: Solve for x
    x = 498,429,143.04/34,577.60
  6. Step 6: Final answer
    x = 14,414.80

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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.