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Finding the Fourth Proportional to 13,415.76, 18,512.88 and 7,447.42

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Solution

The fourth proportional to 13,415.76, 18,512.88 and 7,447.42 is: 10,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.76 : 18,512.88 = 7,447.42 : x
  2. Step 2: Convert to fraction form
    13,415.76/18,512.88 = 7,447.42/x
  3. Step 3: Cross multiply
    13,415.76x = 18,512.88 × 7,447.42
  4. Step 4: Simplify right side
    13,415.76x = 137,873,192.77
  5. Step 5: Solve for x
    x = 137,873,192.77/13,415.76
  6. Step 6: Final answer
    x = 10,276.96

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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.