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Finding the Fourth Proportional to 6,969.87, 10,437.75 and 6,295.18

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Solution

The fourth proportional to 6,969.87, 10,437.75 and 6,295.18 is: 9,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.87 : 10,437.75 = 6,295.18 : x
  2. Step 2: Convert to fraction form
    6,969.87/10,437.75 = 6,295.18/x
  3. Step 3: Cross multiply
    6,969.87x = 10,437.75 × 6,295.18
  4. Step 4: Simplify right side
    6,969.87x = 65,707,515.05
  5. Step 5: Solve for x
    x = 65,707,515.05/6,969.87
  6. Step 6: Final answer
    x = 9,427.37

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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.