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Finding the Fourth Proportional to 5,246.87, 7,870.31 and 1,735.94

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Solution

The fourth proportional to 5,246.87, 7,870.31 and 1,735.94 is: 2,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.87 : 7,870.31 = 1,735.94 : x
  2. Step 2: Convert to fraction form
    5,246.87/7,870.31 = 1,735.94/x
  3. Step 3: Cross multiply
    5,246.87x = 7,870.31 × 1,735.94
  4. Step 4: Simplify right side
    5,246.87x = 13,662,350.93
  5. Step 5: Solve for x
    x = 13,662,350.93/5,246.87
  6. Step 6: Final answer
    x = 2,603.90

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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.