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Finding the Fourth Proportional to 6,896.99, 9,493.80 and 6,011.25

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Solution

The fourth proportional to 6,896.99, 9,493.80 and 6,011.25 is: 8,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.99 : 9,493.80 = 6,011.25 : x
  2. Step 2: Convert to fraction form
    6,896.99/9,493.80 = 6,011.25/x
  3. Step 3: Cross multiply
    6,896.99x = 9,493.80 × 6,011.25
  4. Step 4: Simplify right side
    6,896.99x = 57,069,605.25
  5. Step 5: Solve for x
    x = 57,069,605.25/6,896.99
  6. Step 6: Final answer
    x = 8,274.57

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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.