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Finding the Fourth Proportional to 6,734.00, 10,101.71 and 3,809.50

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Solution

The fourth proportional to 6,734.00, 10,101.71 and 3,809.50 is: 5,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.00 : 10,101.71 = 3,809.50 : x
  2. Step 2: Convert to fraction form
    6,734.00/10,101.71 = 3,809.50/x
  3. Step 3: Cross multiply
    6,734.00x = 10,101.71 × 3,809.50
  4. Step 4: Simplify right side
    6,734.00x = 38,482,448.51
  5. Step 5: Solve for x
    x = 38,482,448.51/6,734.00
  6. Step 6: Final answer
    x = 5,714.65

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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.