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Finding the Fourth Proportional to 8,498.79, 11,728.35 and 4,962.24

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Solution

The fourth proportional to 8,498.79, 11,728.35 and 4,962.24 is: 6,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.79 : 11,728.35 = 4,962.24 : x
  2. Step 2: Convert to fraction form
    8,498.79/11,728.35 = 4,962.24/x
  3. Step 3: Cross multiply
    8,498.79x = 11,728.35 × 4,962.24
  4. Step 4: Simplify right side
    8,498.79x = 58,198,887.50
  5. Step 5: Solve for x
    x = 58,198,887.50/8,498.79
  6. Step 6: Final answer
    x = 6,847.90

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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.