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Finding the Fourth Proportional to 9,848.50, 14,770.50 and 2,828.46

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Solution

The fourth proportional to 9,848.50, 14,770.50 and 2,828.46 is: 4,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.50 : 14,770.50 = 2,828.46 : x
  2. Step 2: Convert to fraction form
    9,848.50/14,770.50 = 2,828.46/x
  3. Step 3: Cross multiply
    9,848.50x = 14,770.50 × 2,828.46
  4. Step 4: Simplify right side
    9,848.50x = 41,777,787.58
  5. Step 5: Solve for x
    x = 41,777,787.58/9,848.50
  6. Step 6: Final answer
    x = 4,242.04

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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.