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Finding the Fourth Proportional to 6,462.81, 8,923.64 and 4,698.63

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Solution

The fourth proportional to 6,462.81, 8,923.64 and 4,698.63 is: 6,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.81 : 8,923.64 = 4,698.63 : x
  2. Step 2: Convert to fraction form
    6,462.81/8,923.64 = 4,698.63/x
  3. Step 3: Cross multiply
    6,462.81x = 8,923.64 × 4,698.63
  4. Step 4: Simplify right side
    6,462.81x = 41,928,859.12
  5. Step 5: Solve for x
    x = 41,928,859.12/6,462.81
  6. Step 6: Final answer
    x = 6,487.71

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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.