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Finding the Fourth Proportional to 6,915.50, 10,373.25 and 2,298.50

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Solution

The fourth proportional to 6,915.50, 10,373.25 and 2,298.50 is: 3,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.50 : 10,373.25 = 2,298.50 : x
  2. Step 2: Convert to fraction form
    6,915.50/10,373.25 = 2,298.50/x
  3. Step 3: Cross multiply
    6,915.50x = 10,373.25 × 2,298.50
  4. Step 4: Simplify right side
    6,915.50x = 23,842,915.13
  5. Step 5: Solve for x
    x = 23,842,915.13/6,915.50
  6. Step 6: Final answer
    x = 3,447.75

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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.