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Finding the Fourth Proportional to 6,566.07, 9,797.90 and 5,858.42

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Solution

The fourth proportional to 6,566.07, 9,797.90 and 5,858.42 is: 8,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.07 : 9,797.90 = 5,858.42 : x
  2. Step 2: Convert to fraction form
    6,566.07/9,797.90 = 5,858.42/x
  3. Step 3: Cross multiply
    6,566.07x = 9,797.90 × 5,858.42
  4. Step 4: Simplify right side
    6,566.07x = 57,400,141.92
  5. Step 5: Solve for x
    x = 57,400,141.92/6,566.07
  6. Step 6: Final answer
    x = 8,741.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.