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Finding the Fourth Proportional to 10,491.87, 14,477.10 and 6,014.82

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Solution

The fourth proportional to 10,491.87, 14,477.10 and 6,014.82 is: 8,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.87 : 14,477.10 = 6,014.82 : x
  2. Step 2: Convert to fraction form
    10,491.87/14,477.10 = 6,014.82/x
  3. Step 3: Cross multiply
    10,491.87x = 14,477.10 × 6,014.82
  4. Step 4: Simplify right side
    10,491.87x = 87,077,150.62
  5. Step 5: Solve for x
    x = 87,077,150.62/10,491.87
  6. Step 6: Final answer
    x = 8,299.49

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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.