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Finding the Fourth Proportional to 12,698.40, 19,069.20 and 9,415.20

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Solution

The fourth proportional to 12,698.40, 19,069.20 and 9,415.20 is: 14,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.40 : 19,069.20 = 9,415.20 : x
  2. Step 2: Convert to fraction form
    12,698.40/19,069.20 = 9,415.20/x
  3. Step 3: Cross multiply
    12,698.40x = 19,069.20 × 9,415.20
  4. Step 4: Simplify right side
    12,698.40x = 179,540,331.84
  5. Step 5: Solve for x
    x = 179,540,331.84/12,698.40
  6. Step 6: Final answer
    x = 14,138.82

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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.