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Finding the Fourth Proportional to 24,693.84, 37,049.07 and 7,829.60

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Solution

The fourth proportional to 24,693.84, 37,049.07 and 7,829.60 is: 11,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693.84 : 37,049.07 = 7,829.60 : x
  2. Step 2: Convert to fraction form
    24,693.84/37,049.07 = 7,829.60/x
  3. Step 3: Cross multiply
    24,693.84x = 37,049.07 × 7,829.60
  4. Step 4: Simplify right side
    24,693.84x = 290,079,376.87
  5. Step 5: Solve for x
    x = 290,079,376.87/24,693.84
  6. Step 6: Final answer
    x = 11,747.04

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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.