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Finding the Fourth Proportional to 13,258.50, 19,890.18 and 6,333

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Solution

The fourth proportional to 13,258.50, 19,890.18 and 6,333 is: 9,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.50 : 19,890.18 = 6,333 : x
  2. Step 2: Convert to fraction form
    13,258.50/19,890.18 = 6,333/x
  3. Step 3: Cross multiply
    13,258.50x = 19,890.18 × 6,333
  4. Step 4: Simplify right side
    13,258.50x = 125,964,509.94
  5. Step 5: Solve for x
    x = 125,964,509.94/13,258.50
  6. Step 6: Final answer
    x = 9,500.66

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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.