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Finding the Fourth Proportional to 21,785.46, 32,684.58 and 6,994.08

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Solution

The fourth proportional to 21,785.46, 32,684.58 and 6,994.08 is: 10,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.46 : 32,684.58 = 6,994.08 : x
  2. Step 2: Convert to fraction form
    21,785.46/32,684.58 = 6,994.08/x
  3. Step 3: Cross multiply
    21,785.46x = 32,684.58 × 6,994.08
  4. Step 4: Simplify right side
    21,785.46x = 228,598,567.29
  5. Step 5: Solve for x
    x = 228,598,567.29/21,785.46
  6. Step 6: Final answer
    x = 10,493.17

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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.