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Finding the Fourth Proportional to 7,668.89, 10,584.05 and 4,684.10

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Solution

The fourth proportional to 7,668.89, 10,584.05 and 4,684.10 is: 6,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.89 : 10,584.05 = 4,684.10 : x
  2. Step 2: Convert to fraction form
    7,668.89/10,584.05 = 4,684.10/x
  3. Step 3: Cross multiply
    7,668.89x = 10,584.05 × 4,684.10
  4. Step 4: Simplify right side
    7,668.89x = 49,576,672.26
  5. Step 5: Solve for x
    x = 49,576,672.26/7,668.89
  6. Step 6: Final answer
    x = 6,464.65

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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.