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Finding the Fourth Proportional to 6,848.15, 10,266.75 and 6,461.78

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Solution

The fourth proportional to 6,848.15, 10,266.75 and 6,461.78 is: 9,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.15 : 10,266.75 = 6,461.78 : x
  2. Step 2: Convert to fraction form
    6,848.15/10,266.75 = 6,461.78/x
  3. Step 3: Cross multiply
    6,848.15x = 10,266.75 × 6,461.78
  4. Step 4: Simplify right side
    6,848.15x = 66,341,428.48
  5. Step 5: Solve for x
    x = 66,341,428.48/6,848.15
  6. Step 6: Final answer
    x = 9,687.50

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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.