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Finding the Fourth Proportional to 6,464.81, 8,924.84 and 4,351.45

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Solution

The fourth proportional to 6,464.81, 8,924.84 and 4,351.45 is: 6,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.81 : 8,924.84 = 4,351.45 : x
  2. Step 2: Convert to fraction form
    6,464.81/8,924.84 = 4,351.45/x
  3. Step 3: Cross multiply
    6,464.81x = 8,924.84 × 4,351.45
  4. Step 4: Simplify right side
    6,464.81x = 38,835,995.02
  5. Step 5: Solve for x
    x = 38,835,995.02/6,464.81
  6. Step 6: Final answer
    x = 6,007.30

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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.