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Finding the Fourth Proportional to 13,263, 19,894.52 and 6,237.84

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Solution

The fourth proportional to 13,263, 19,894.52 and 6,237.84 is: 9,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263 : 19,894.52 = 6,237.84 : x
  2. Step 2: Convert to fraction form
    13,263/19,894.52 = 6,237.84/x
  3. Step 3: Cross multiply
    13,263x = 19,894.52 × 6,237.84
  4. Step 4: Simplify right side
    13,263x = 124,098,832.64
  5. Step 5: Solve for x
    x = 124,098,832.64/13,263
  6. Step 6: Final answer
    x = 9,356.77

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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.