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Finding the Fourth Proportional to 10,797.42, 14,900.30 and 6,323.50

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Solution

The fourth proportional to 10,797.42, 14,900.30 and 6,323.50 is: 8,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.42 : 14,900.30 = 6,323.50 : x
  2. Step 2: Convert to fraction form
    10,797.42/14,900.30 = 6,323.50/x
  3. Step 3: Cross multiply
    10,797.42x = 14,900.30 × 6,323.50
  4. Step 4: Simplify right side
    10,797.42x = 94,221,972.55
  5. Step 5: Solve for x
    x = 94,221,972.55/10,797.42
  6. Step 6: Final answer
    x = 8,726.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.