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Finding the Fourth Proportional to 10,643.70, 14,688.22 and 5,927.88

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Solution

The fourth proportional to 10,643.70, 14,688.22 and 5,927.88 is: 8,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.70 : 14,688.22 = 5,927.88 : x
  2. Step 2: Convert to fraction form
    10,643.70/14,688.22 = 5,927.88/x
  3. Step 3: Cross multiply
    10,643.70x = 14,688.22 × 5,927.88
  4. Step 4: Simplify right side
    10,643.70x = 87,070,005.57
  5. Step 5: Solve for x
    x = 87,070,005.57/10,643.70
  6. Step 6: Final answer
    x = 8,180.43

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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.