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Finding the Fourth Proportional to 9,483.47, 14,224.14 and 3,635.98

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Solution

The fourth proportional to 9,483.47, 14,224.14 and 3,635.98 is: 5,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.47 : 14,224.14 = 3,635.98 : x
  2. Step 2: Convert to fraction form
    9,483.47/14,224.14 = 3,635.98/x
  3. Step 3: Cross multiply
    9,483.47x = 14,224.14 × 3,635.98
  4. Step 4: Simplify right side
    9,483.47x = 51,718,617.44
  5. Step 5: Solve for x
    x = 51,718,617.44/9,483.47
  6. Step 6: Final answer
    x = 5,453.55

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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.