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Finding the Fourth Proportional to 5,674.08, 8,498.16 and 5,103.84

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Solution

The fourth proportional to 5,674.08, 8,498.16 and 5,103.84 is: 7,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.08 : 8,498.16 = 5,103.84 : x
  2. Step 2: Convert to fraction form
    5,674.08/8,498.16 = 5,103.84/x
  3. Step 3: Cross multiply
    5,674.08x = 8,498.16 × 5,103.84
  4. Step 4: Simplify right side
    5,674.08x = 43,373,248.93
  5. Step 5: Solve for x
    x = 43,373,248.93/5,674.08
  6. Step 6: Final answer
    x = 7,644.10

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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.