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Finding the Fourth Proportional to 15,591.84, 23,384.80 and 5,200.80

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Solution

The fourth proportional to 15,591.84, 23,384.80 and 5,200.80 is: 7,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.84 : 23,384.80 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    15,591.84/23,384.80 = 5,200.80/x
  3. Step 3: Cross multiply
    15,591.84x = 23,384.80 × 5,200.80
  4. Step 4: Simplify right side
    15,591.84x = 121,619,667.84
  5. Step 5: Solve for x
    x = 121,619,667.84/15,591.84
  6. Step 6: Final answer
    x = 7,800.21

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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.