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Finding the Fourth Proportional to 10,491.37, 15,737.26 and 3,916.24

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Solution

The fourth proportional to 10,491.37, 15,737.26 and 3,916.24 is: 5,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.37 : 15,737.26 = 3,916.24 : x
  2. Step 2: Convert to fraction form
    10,491.37/15,737.26 = 3,916.24/x
  3. Step 3: Cross multiply
    10,491.37x = 15,737.26 × 3,916.24
  4. Step 4: Simplify right side
    10,491.37x = 61,630,867.52
  5. Step 5: Solve for x
    x = 61,630,867.52/10,491.37
  6. Step 6: Final answer
    x = 5,874.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.