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Finding the Fourth Proportional to 4,827.67, 6,662.46 and 3,646.69

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Solution

The fourth proportional to 4,827.67, 6,662.46 and 3,646.69 is: 5,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.67 : 6,662.46 = 3,646.69 : x
  2. Step 2: Convert to fraction form
    4,827.67/6,662.46 = 3,646.69/x
  3. Step 3: Cross multiply
    4,827.67x = 6,662.46 × 3,646.69
  4. Step 4: Simplify right side
    4,827.67x = 24,295,926.26
  5. Step 5: Solve for x
    x = 24,295,926.26/4,827.67
  6. Step 6: Final answer
    x = 5,032.64

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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.