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Finding the Fourth Proportional to 29,220, 43,830 and 9,764

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Solution

The fourth proportional to 29,220, 43,830 and 9,764 is: 14,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,220 : 43,830 = 9,764 : x
  2. Step 2: Convert to fraction form
    29,220/43,830 = 9,764/x
  3. Step 3: Cross multiply
    29,220x = 43,830 × 9,764
  4. Step 4: Simplify right side
    29,220x = 427,956,120
  5. Step 5: Solve for x
    x = 427,956,120/29,220
  6. Step 6: Final answer
    x = 14,646

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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.