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Finding the Fourth Proportional to 7,206.70, 10,822.20 and 4,752.40

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Solution

The fourth proportional to 7,206.70, 10,822.20 and 4,752.40 is: 7,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.70 : 10,822.20 = 4,752.40 : x
  2. Step 2: Convert to fraction form
    7,206.70/10,822.20 = 4,752.40/x
  3. Step 3: Cross multiply
    7,206.70x = 10,822.20 × 4,752.40
  4. Step 4: Simplify right side
    7,206.70x = 51,431,423.28
  5. Step 5: Solve for x
    x = 51,431,423.28/7,206.70
  6. Step 6: Final answer
    x = 7,136.61

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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.