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Finding the Fourth Proportional to 7,710.99, 11,570.01 and 3,760.08

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Solution

The fourth proportional to 7,710.99, 11,570.01 and 3,760.08 is: 5,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.99 : 11,570.01 = 3,760.08 : x
  2. Step 2: Convert to fraction form
    7,710.99/11,570.01 = 3,760.08/x
  3. Step 3: Cross multiply
    7,710.99x = 11,570.01 × 3,760.08
  4. Step 4: Simplify right side
    7,710.99x = 43,504,163.20
  5. Step 5: Solve for x
    x = 43,504,163.20/7,710.99
  6. Step 6: Final answer
    x = 5,641.84

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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.