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Finding the Fourth Proportional to 6,038.68, 8,335.74 and 5,872.24

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Solution

The fourth proportional to 6,038.68, 8,335.74 and 5,872.24 is: 8,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.68 : 8,335.74 = 5,872.24 : x
  2. Step 2: Convert to fraction form
    6,038.68/8,335.74 = 5,872.24/x
  3. Step 3: Cross multiply
    6,038.68x = 8,335.74 × 5,872.24
  4. Step 4: Simplify right side
    6,038.68x = 48,949,465.86
  5. Step 5: Solve for x
    x = 48,949,465.86/6,038.68
  6. Step 6: Final answer
    x = 8,105.99

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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.