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Finding the Fourth Proportional to 6,513.99, 9,770.74 and 1,896.87

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Solution

The fourth proportional to 6,513.99, 9,770.74 and 1,896.87 is: 2,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.99 : 9,770.74 = 1,896.87 : x
  2. Step 2: Convert to fraction form
    6,513.99/9,770.74 = 1,896.87/x
  3. Step 3: Cross multiply
    6,513.99x = 9,770.74 × 1,896.87
  4. Step 4: Simplify right side
    6,513.99x = 18,533,823.58
  5. Step 5: Solve for x
    x = 18,533,823.58/6,513.99
  6. Step 6: Final answer
    x = 2,845.23

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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.