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Finding the Fourth Proportional to 8,041.72, 11,098.74 and 4,505.32

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Solution

The fourth proportional to 8,041.72, 11,098.74 and 4,505.32 is: 6,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.72 : 11,098.74 = 4,505.32 : x
  2. Step 2: Convert to fraction form
    8,041.72/11,098.74 = 4,505.32/x
  3. Step 3: Cross multiply
    8,041.72x = 11,098.74 × 4,505.32
  4. Step 4: Simplify right side
    8,041.72x = 50,003,375.30
  5. Step 5: Solve for x
    x = 50,003,375.30/8,041.72
  6. Step 6: Final answer
    x = 6,218.00

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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.