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Finding the Fourth Proportional to 10,696.50, 14,761.27 and 5,916.20

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Solution

The fourth proportional to 10,696.50, 14,761.27 and 5,916.20 is: 8,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.50 : 14,761.27 = 5,916.20 : x
  2. Step 2: Convert to fraction form
    10,696.50/14,761.27 = 5,916.20/x
  3. Step 3: Cross multiply
    10,696.50x = 14,761.27 × 5,916.20
  4. Step 4: Simplify right side
    10,696.50x = 87,330,595.99
  5. Step 5: Solve for x
    x = 87,330,595.99/10,696.50
  6. Step 6: Final answer
    x = 8,164.41

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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.