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Finding the Fourth Proportional to 10,806.63, 14,913.14 and 5,838.63

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Solution

The fourth proportional to 10,806.63, 14,913.14 and 5,838.63 is: 8,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.63 : 14,913.14 = 5,838.63 : x
  2. Step 2: Convert to fraction form
    10,806.63/14,913.14 = 5,838.63/x
  3. Step 3: Cross multiply
    10,806.63x = 14,913.14 × 5,838.63
  4. Step 4: Simplify right side
    10,806.63x = 87,072,306.60
  5. Step 5: Solve for x
    x = 87,072,306.60/10,806.63
  6. Step 6: Final answer
    x = 8,057.30

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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.