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Finding the Fourth Proportional to 20,970.41, 31,461.05 and 7,822.88

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Solution

The fourth proportional to 20,970.41, 31,461.05 and 7,822.88 is: 11,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.41 : 31,461.05 = 7,822.88 : x
  2. Step 2: Convert to fraction form
    20,970.41/31,461.05 = 7,822.88/x
  3. Step 3: Cross multiply
    20,970.41x = 31,461.05 × 7,822.88
  4. Step 4: Simplify right side
    20,970.41x = 246,115,881.08
  5. Step 5: Solve for x
    x = 246,115,881.08/20,970.41
  6. Step 6: Final answer
    x = 11,736.34

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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.