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Finding the Fourth Proportional to 15,833.84, 23,750.76 and 4,147

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Solution

The fourth proportional to 15,833.84, 23,750.76 and 4,147 is: 6,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.84 : 23,750.76 = 4,147 : x
  2. Step 2: Convert to fraction form
    15,833.84/23,750.76 = 4,147/x
  3. Step 3: Cross multiply
    15,833.84x = 23,750.76 × 4,147
  4. Step 4: Simplify right side
    15,833.84x = 98,494,401.72
  5. Step 5: Solve for x
    x = 98,494,401.72/15,833.84
  6. Step 6: Final answer
    x = 6,220.50

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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.