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Finding the Fourth Proportional to 6,782.58, 9,350.78 and 5,798.43

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Solution

The fourth proportional to 6,782.58, 9,350.78 and 5,798.43 is: 7,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.58 : 9,350.78 = 5,798.43 : x
  2. Step 2: Convert to fraction form
    6,782.58/9,350.78 = 5,798.43/x
  3. Step 3: Cross multiply
    6,782.58x = 9,350.78 × 5,798.43
  4. Step 4: Simplify right side
    6,782.58x = 54,219,814.28
  5. Step 5: Solve for x
    x = 54,219,814.28/6,782.58
  6. Step 6: Final answer
    x = 7,993.98

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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.