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Finding the Fourth Proportional to 5,465.40, 8,198.10 and 5,246.70

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Solution

The fourth proportional to 5,465.40, 8,198.10 and 5,246.70 is: 7,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.40 : 8,198.10 = 5,246.70 : x
  2. Step 2: Convert to fraction form
    5,465.40/8,198.10 = 5,246.70/x
  3. Step 3: Cross multiply
    5,465.40x = 8,198.10 × 5,246.70
  4. Step 4: Simplify right side
    5,465.40x = 43,012,971.27
  5. Step 5: Solve for x
    x = 43,012,971.27/5,465.40
  6. Step 6: Final answer
    x = 7,870.05

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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.