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Finding the Fourth Proportional to 14,729, 22,109.82 and 7,331.46

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Solution

The fourth proportional to 14,729, 22,109.82 and 7,331.46 is: 11,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729 : 22,109.82 = 7,331.46 : x
  2. Step 2: Convert to fraction form
    14,729/22,109.82 = 7,331.46/x
  3. Step 3: Cross multiply
    14,729x = 22,109.82 × 7,331.46
  4. Step 4: Simplify right side
    14,729x = 162,097,260.94
  5. Step 5: Solve for x
    x = 162,097,260.94/14,729
  6. Step 6: Final answer
    x = 11,005.31

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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.