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Finding the Fourth Proportional to 10,059, 13,876.26 and 6,474.60

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Solution

The fourth proportional to 10,059, 13,876.26 and 6,474.60 is: 8,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059 : 13,876.26 = 6,474.60 : x
  2. Step 2: Convert to fraction form
    10,059/13,876.26 = 6,474.60/x
  3. Step 3: Cross multiply
    10,059x = 13,876.26 × 6,474.60
  4. Step 4: Simplify right side
    10,059x = 89,843,233.00
  5. Step 5: Solve for x
    x = 89,843,233.00/10,059
  6. Step 6: Final answer
    x = 8,931.63

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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.