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Finding the Fourth Proportional to 12,774.60, 17,624.06 and 9,425.41

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Solution

The fourth proportional to 12,774.60, 17,624.06 and 9,425.41 is: 13,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.60 : 17,624.06 = 9,425.41 : x
  2. Step 2: Convert to fraction form
    12,774.60/17,624.06 = 9,425.41/x
  3. Step 3: Cross multiply
    12,774.60x = 17,624.06 × 9,425.41
  4. Step 4: Simplify right side
    12,774.60x = 166,113,900.18
  5. Step 5: Solve for x
    x = 166,113,900.18/12,774.60
  6. Step 6: Final answer
    x = 13,003.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.