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Finding the Fourth Proportional to 6,733.62, 10,109.57 and 4,648.50

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Solution

The fourth proportional to 6,733.62, 10,109.57 and 4,648.50 is: 6,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.62 : 10,109.57 = 4,648.50 : x
  2. Step 2: Convert to fraction form
    6,733.62/10,109.57 = 4,648.50/x
  3. Step 3: Cross multiply
    6,733.62x = 10,109.57 × 4,648.50
  4. Step 4: Simplify right side
    6,733.62x = 46,994,312.90
  5. Step 5: Solve for x
    x = 46,994,312.90/6,733.62
  6. Step 6: Final answer
    x = 6,979.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.