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Finding the Fourth Proportional to 9,883, 14,824.50 and 2,957.50

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Solution

The fourth proportional to 9,883, 14,824.50 and 2,957.50 is: 4,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883 : 14,824.50 = 2,957.50 : x
  2. Step 2: Convert to fraction form
    9,883/14,824.50 = 2,957.50/x
  3. Step 3: Cross multiply
    9,883x = 14,824.50 × 2,957.50
  4. Step 4: Simplify right side
    9,883x = 43,843,458.75
  5. Step 5: Solve for x
    x = 43,843,458.75/9,883
  6. Step 6: Final answer
    x = 4,436.25

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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.