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Finding the Fourth Proportional to 6,712.96, 9,261.30 and 4,948.76

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Solution

The fourth proportional to 6,712.96, 9,261.30 and 4,948.76 is: 6,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.96 : 9,261.30 = 4,948.76 : x
  2. Step 2: Convert to fraction form
    6,712.96/9,261.30 = 4,948.76/x
  3. Step 3: Cross multiply
    6,712.96x = 9,261.30 × 4,948.76
  4. Step 4: Simplify right side
    6,712.96x = 45,831,950.99
  5. Step 5: Solve for x
    x = 45,831,950.99/6,712.96
  6. Step 6: Final answer
    x = 6,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.