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Finding the Fourth Proportional to 12,303.14, 18,454.77 and 3,069.14

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Solution

The fourth proportional to 12,303.14, 18,454.77 and 3,069.14 is: 4,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.14 : 18,454.77 = 3,069.14 : x
  2. Step 2: Convert to fraction form
    12,303.14/18,454.77 = 3,069.14/x
  3. Step 3: Cross multiply
    12,303.14x = 18,454.77 × 3,069.14
  4. Step 4: Simplify right side
    12,303.14x = 56,640,272.80
  5. Step 5: Solve for x
    x = 56,640,272.80/12,303.14
  6. Step 6: Final answer
    x = 4,603.72

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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.