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Finding the Fourth Proportional to 4,684.07, 6,464.09 and 2,559.65

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Solution

The fourth proportional to 4,684.07, 6,464.09 and 2,559.65 is: 3,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.07 : 6,464.09 = 2,559.65 : x
  2. Step 2: Convert to fraction form
    4,684.07/6,464.09 = 2,559.65/x
  3. Step 3: Cross multiply
    4,684.07x = 6,464.09 × 2,559.65
  4. Step 4: Simplify right side
    4,684.07x = 16,545,782.05
  5. Step 5: Solve for x
    x = 16,545,782.05/4,684.07
  6. Step 6: Final answer
    x = 3,532.35

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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.