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Finding the Fourth Proportional to 9,099.94, 13,649.98 and 2,526.64

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Solution

The fourth proportional to 9,099.94, 13,649.98 and 2,526.64 is: 3,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.94 : 13,649.98 = 2,526.64 : x
  2. Step 2: Convert to fraction form
    9,099.94/13,649.98 = 2,526.64/x
  3. Step 3: Cross multiply
    9,099.94x = 13,649.98 × 2,526.64
  4. Step 4: Simplify right side
    9,099.94x = 34,488,520.38
  5. Step 5: Solve for x
    x = 34,488,520.38/9,099.94
  6. Step 6: Final answer
    x = 3,789.97

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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.