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Finding the Fourth Proportional to 10,679.84, 14,737.18 and 6,203.50

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Solution

The fourth proportional to 10,679.84, 14,737.18 and 6,203.50 is: 8,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.84 : 14,737.18 = 6,203.50 : x
  2. Step 2: Convert to fraction form
    10,679.84/14,737.18 = 6,203.50/x
  3. Step 3: Cross multiply
    10,679.84x = 14,737.18 × 6,203.50
  4. Step 4: Simplify right side
    10,679.84x = 91,422,096.13
  5. Step 5: Solve for x
    x = 91,422,096.13/10,679.84
  6. Step 6: Final answer
    x = 8,560.25

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1.5x scale

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.