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Finding the Fourth Proportional to 9,491.55, 14,229.22 and 6,709.47

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Solution

The fourth proportional to 9,491.55, 14,229.22 and 6,709.47 is: 10,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.55 : 14,229.22 = 6,709.47 : x
  2. Step 2: Convert to fraction form
    9,491.55/14,229.22 = 6,709.47/x
  3. Step 3: Cross multiply
    9,491.55x = 14,229.22 × 6,709.47
  4. Step 4: Simplify right side
    9,491.55x = 95,470,420.02
  5. Step 5: Solve for x
    x = 95,470,420.02/9,491.55
  6. Step 6: Final answer
    x = 10,058.47

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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.