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Finding the Fourth Proportional to 21,000.44, 31,500.45 and 6,209.64

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Solution

The fourth proportional to 21,000.44, 31,500.45 and 6,209.64 is: 9,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.44 : 31,500.45 = 6,209.64 : x
  2. Step 2: Convert to fraction form
    21,000.44/31,500.45 = 6,209.64/x
  3. Step 3: Cross multiply
    21,000.44x = 31,500.45 × 6,209.64
  4. Step 4: Simplify right side
    21,000.44x = 195,606,454.34
  5. Step 5: Solve for x
    x = 195,606,454.34/21,000.44
  6. Step 6: Final answer
    x = 9,314.40

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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.