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Finding the Fourth Proportional to 8,670.83, 11,965.84 and 4,894.20

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Solution

The fourth proportional to 8,670.83, 11,965.84 and 4,894.20 is: 6,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.83 : 11,965.84 = 4,894.20 : x
  2. Step 2: Convert to fraction form
    8,670.83/11,965.84 = 4,894.20/x
  3. Step 3: Cross multiply
    8,670.83x = 11,965.84 × 4,894.20
  4. Step 4: Simplify right side
    8,670.83x = 58,563,201.89
  5. Step 5: Solve for x
    x = 58,563,201.89/8,670.83
  6. Step 6: Final answer
    x = 6,754.05

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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.