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Finding the Fourth Proportional to 31,314.60, 46,974.94 and 9,127.49

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Solution

The fourth proportional to 31,314.60, 46,974.94 and 9,127.49 is: 13,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.60 : 46,974.94 = 9,127.49 : x
  2. Step 2: Convert to fraction form
    31,314.60/46,974.94 = 9,127.49/x
  3. Step 3: Cross multiply
    31,314.60x = 46,974.94 × 9,127.49
  4. Step 4: Simplify right side
    31,314.60x = 428,763,037.41
  5. Step 5: Solve for x
    x = 428,763,037.41/31,314.60
  6. Step 6: Final answer
    x = 13,692.11

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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.