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Finding the Fourth Proportional to 6,458.96, 9,682.16 and 2,762.16

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Solution

The fourth proportional to 6,458.96, 9,682.16 and 2,762.16 is: 4,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.96 : 9,682.16 = 2,762.16 : x
  2. Step 2: Convert to fraction form
    6,458.96/9,682.16 = 2,762.16/x
  3. Step 3: Cross multiply
    6,458.96x = 9,682.16 × 2,762.16
  4. Step 4: Simplify right side
    6,458.96x = 26,743,675.07
  5. Step 5: Solve for x
    x = 26,743,675.07/6,458.96
  6. Step 6: Final answer
    x = 4,140.55

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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.