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Finding the Fourth Proportional to 5,197.84, 7,797.12 and 1,500.40

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Solution

The fourth proportional to 5,197.84, 7,797.12 and 1,500.40 is: 2,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.84 : 7,797.12 = 1,500.40 : x
  2. Step 2: Convert to fraction form
    5,197.84/7,797.12 = 1,500.40/x
  3. Step 3: Cross multiply
    5,197.84x = 7,797.12 × 1,500.40
  4. Step 4: Simplify right side
    5,197.84x = 11,698,798.85
  5. Step 5: Solve for x
    x = 11,698,798.85/5,197.84
  6. Step 6: Final answer
    x = 2,250.70

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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.