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Finding the Fourth Proportional to 11,614.16, 16,025.46 and 6,899.60

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Solution

The fourth proportional to 11,614.16, 16,025.46 and 6,899.60 is: 9,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.16 : 16,025.46 = 6,899.60 : x
  2. Step 2: Convert to fraction form
    11,614.16/16,025.46 = 6,899.60/x
  3. Step 3: Cross multiply
    11,614.16x = 16,025.46 × 6,899.60
  4. Step 4: Simplify right side
    11,614.16x = 110,569,263.82
  5. Step 5: Solve for x
    x = 110,569,263.82/11,614.16
  6. Step 6: Final answer
    x = 9,520.21

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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.