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Finding the Fourth Proportional to 9,181.80, 13,772.70 and 6,994.80

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Solution

The fourth proportional to 9,181.80, 13,772.70 and 6,994.80 is: 10,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.80 : 13,772.70 = 6,994.80 : x
  2. Step 2: Convert to fraction form
    9,181.80/13,772.70 = 6,994.80/x
  3. Step 3: Cross multiply
    9,181.80x = 13,772.70 × 6,994.80
  4. Step 4: Simplify right side
    9,181.80x = 96,337,281.96
  5. Step 5: Solve for x
    x = 96,337,281.96/9,181.80
  6. Step 6: Final answer
    x = 10,492.20

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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.