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Finding the Fourth Proportional to 6,712, 10,035.96 and 6,123.82

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Solution

The fourth proportional to 6,712, 10,035.96 and 6,123.82 is: 9,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712 : 10,035.96 = 6,123.82 : x
  2. Step 2: Convert to fraction form
    6,712/10,035.96 = 6,123.82/x
  3. Step 3: Cross multiply
    6,712x = 10,035.96 × 6,123.82
  4. Step 4: Simplify right side
    6,712x = 61,458,412.57
  5. Step 5: Solve for x
    x = 61,458,412.57/6,712
  6. Step 6: Final answer
    x = 9,156.50

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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.