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Finding the Fourth Proportional to 21,824.72, 32,737 and 6,242.32

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Solution

The fourth proportional to 21,824.72, 32,737 and 6,242.32 is: 9,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.72 : 32,737 = 6,242.32 : x
  2. Step 2: Convert to fraction form
    21,824.72/32,737 = 6,242.32/x
  3. Step 3: Cross multiply
    21,824.72x = 32,737 × 6,242.32
  4. Step 4: Simplify right side
    21,824.72x = 204,354,829.84
  5. Step 5: Solve for x
    x = 204,354,829.84/21,824.72
  6. Step 6: Final answer
    x = 9,363.46

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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.