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Finding the Fourth Proportional to 16,564.26, 22,851 and 9,846.12

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Solution

The fourth proportional to 16,564.26, 22,851 and 9,846.12 is: 13,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.26 : 22,851 = 9,846.12 : x
  2. Step 2: Convert to fraction form
    16,564.26/22,851 = 9,846.12/x
  3. Step 3: Cross multiply
    16,564.26x = 22,851 × 9,846.12
  4. Step 4: Simplify right side
    16,564.26x = 224,993,688.12
  5. Step 5: Solve for x
    x = 224,993,688.12/16,564.26
  6. Step 6: Final answer
    x = 13,583.08

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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.