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Finding the Fourth Proportional to 12,901.60, 19,314.60 and 9,629.20

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Solution

The fourth proportional to 12,901.60, 19,314.60 and 9,629.20 is: 14,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.60 : 19,314.60 = 9,629.20 : x
  2. Step 2: Convert to fraction form
    12,901.60/19,314.60 = 9,629.20/x
  3. Step 3: Cross multiply
    12,901.60x = 19,314.60 × 9,629.20
  4. Step 4: Simplify right side
    12,901.60x = 185,984,146.32
  5. Step 5: Solve for x
    x = 185,984,146.32/12,901.60
  6. Step 6: Final answer
    x = 14,415.59

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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.