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Finding the Fourth Proportional to 9,491.22, 13,097.97 and 5,512.50

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Solution

The fourth proportional to 9,491.22, 13,097.97 and 5,512.50 is: 7,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.22 : 13,097.97 = 5,512.50 : x
  2. Step 2: Convert to fraction form
    9,491.22/13,097.97 = 5,512.50/x
  3. Step 3: Cross multiply
    9,491.22x = 13,097.97 × 5,512.50
  4. Step 4: Simplify right side
    9,491.22x = 72,202,559.63
  5. Step 5: Solve for x
    x = 72,202,559.63/9,491.22
  6. Step 6: Final answer
    x = 7,607.30

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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.