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Finding the Fourth Proportional to 6,502.08, 8,961.12 and 4,730.88

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Solution

The fourth proportional to 6,502.08, 8,961.12 and 4,730.88 is: 6,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.08 : 8,961.12 = 4,730.88 : x
  2. Step 2: Convert to fraction form
    6,502.08/8,961.12 = 4,730.88/x
  3. Step 3: Cross multiply
    6,502.08x = 8,961.12 × 4,730.88
  4. Step 4: Simplify right side
    6,502.08x = 42,393,983.39
  5. Step 5: Solve for x
    x = 42,393,983.39/6,502.08
  6. Step 6: Final answer
    x = 6,520.06

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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.