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Finding the Fourth Proportional to 9,101.26, 12,563.01 and 5,564.80

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Solution

The fourth proportional to 9,101.26, 12,563.01 and 5,564.80 is: 7,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.26 : 12,563.01 = 5,564.80 : x
  2. Step 2: Convert to fraction form
    9,101.26/12,563.01 = 5,564.80/x
  3. Step 3: Cross multiply
    9,101.26x = 12,563.01 × 5,564.80
  4. Step 4: Simplify right side
    9,101.26x = 69,910,638.05
  5. Step 5: Solve for x
    x = 69,910,638.05/9,101.26
  6. Step 6: Final answer
    x = 7,681.42

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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.