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Finding the Fourth Proportional to 7,395.70, 10,206.93 and 5,797.30

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Solution

The fourth proportional to 7,395.70, 10,206.93 and 5,797.30 is: 8,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.70 : 10,206.93 = 5,797.30 : x
  2. Step 2: Convert to fraction form
    7,395.70/10,206.93 = 5,797.30/x
  3. Step 3: Cross multiply
    7,395.70x = 10,206.93 × 5,797.30
  4. Step 4: Simplify right side
    7,395.70x = 59,172,635.29
  5. Step 5: Solve for x
    x = 59,172,635.29/7,395.70
  6. Step 6: Final answer
    x = 8,000.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.