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Finding the Fourth Proportional to 9,497.36, 14,213.22 and 6,563.14

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Solution

The fourth proportional to 9,497.36, 14,213.22 and 6,563.14 is: 9,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.36 : 14,213.22 = 6,563.14 : x
  2. Step 2: Convert to fraction form
    9,497.36/14,213.22 = 6,563.14/x
  3. Step 3: Cross multiply
    9,497.36x = 14,213.22 × 6,563.14
  4. Step 4: Simplify right side
    9,497.36x = 93,283,352.71
  5. Step 5: Solve for x
    x = 93,283,352.71/9,497.36
  6. Step 6: Final answer
    x = 9,822.03

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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.