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Finding the Fourth Proportional to 9,099.64, 12,551.22 and 5,564.59

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Solution

The fourth proportional to 9,099.64, 12,551.22 and 5,564.59 is: 7,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.64 : 12,551.22 = 5,564.59 : x
  2. Step 2: Convert to fraction form
    9,099.64/12,551.22 = 5,564.59/x
  3. Step 3: Cross multiply
    9,099.64x = 12,551.22 × 5,564.59
  4. Step 4: Simplify right side
    9,099.64x = 69,842,393.30
  5. Step 5: Solve for x
    x = 69,842,393.30/9,099.64
  6. Step 6: Final answer
    x = 7,675.29

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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.