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Finding the Fourth Proportional to 8,997.75, 12,416.90 and 4,964.48

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Solution

The fourth proportional to 8,997.75, 12,416.90 and 4,964.48 is: 6,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.75 : 12,416.90 = 4,964.48 : x
  2. Step 2: Convert to fraction form
    8,997.75/12,416.90 = 4,964.48/x
  3. Step 3: Cross multiply
    8,997.75x = 12,416.90 × 4,964.48
  4. Step 4: Simplify right side
    8,997.75x = 61,643,364.81
  5. Step 5: Solve for x
    x = 61,643,364.81/8,997.75
  6. Step 6: Final answer
    x = 6,850.98

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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.