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Finding the Fourth Proportional to 6,556.51, 9,784.42 and 5,855.86

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Solution

The fourth proportional to 6,556.51, 9,784.42 and 5,855.86 is: 8,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.51 : 9,784.42 = 5,855.86 : x
  2. Step 2: Convert to fraction form
    6,556.51/9,784.42 = 5,855.86/x
  3. Step 3: Cross multiply
    6,556.51x = 9,784.42 × 5,855.86
  4. Step 4: Simplify right side
    6,556.51x = 57,296,193.70
  5. Step 5: Solve for x
    x = 57,296,193.70/6,556.51
  6. Step 6: Final answer
    x = 8,738.83

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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.