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Finding the Fourth Proportional to 21,957, 32,935.50 and 6,374.76

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Solution

The fourth proportional to 21,957, 32,935.50 and 6,374.76 is: 9,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957 : 32,935.50 = 6,374.76 : x
  2. Step 2: Convert to fraction form
    21,957/32,935.50 = 6,374.76/x
  3. Step 3: Cross multiply
    21,957x = 32,935.50 × 6,374.76
  4. Step 4: Simplify right side
    21,957x = 209,955,907.98
  5. Step 5: Solve for x
    x = 209,955,907.98/21,957
  6. Step 6: Final answer
    x = 9,562.14

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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.