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Finding the Fourth Proportional to 5,846.65, 8,771.42 and 1,686.56

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Solution

The fourth proportional to 5,846.65, 8,771.42 and 1,686.56 is: 2,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.65 : 8,771.42 = 1,686.56 : x
  2. Step 2: Convert to fraction form
    5,846.65/8,771.42 = 1,686.56/x
  3. Step 3: Cross multiply
    5,846.65x = 8,771.42 × 1,686.56
  4. Step 4: Simplify right side
    5,846.65x = 14,793,486.47
  5. Step 5: Solve for x
    x = 14,793,486.47/5,846.65
  6. Step 6: Final answer
    x = 2,530.25

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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.