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Finding the Fourth Proportional to 6,464.94, 9,698.22 and 6,364.86

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Solution

The fourth proportional to 6,464.94, 9,698.22 and 6,364.86 is: 9,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.94 : 9,698.22 = 6,364.86 : x
  2. Step 2: Convert to fraction form
    6,464.94/9,698.22 = 6,364.86/x
  3. Step 3: Cross multiply
    6,464.94x = 9,698.22 × 6,364.86
  4. Step 4: Simplify right side
    6,464.94x = 61,727,812.55
  5. Step 5: Solve for x
    x = 61,727,812.55/6,464.94
  6. Step 6: Final answer
    x = 9,548.09

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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.