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Finding the Fourth Proportional to 6,894.89, 10,342.53 and 2,515.62

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Solution

The fourth proportional to 6,894.89, 10,342.53 and 2,515.62 is: 3,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.89 : 10,342.53 = 2,515.62 : x
  2. Step 2: Convert to fraction form
    6,894.89/10,342.53 = 2,515.62/x
  3. Step 3: Cross multiply
    6,894.89x = 10,342.53 × 2,515.62
  4. Step 4: Simplify right side
    6,894.89x = 26,017,875.32
  5. Step 5: Solve for x
    x = 26,017,875.32/6,894.89
  6. Step 6: Final answer
    x = 3,773.50

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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.