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Finding the Fourth Proportional to 6,463.81, 8,923.46 and 4,350.45

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Solution

The fourth proportional to 6,463.81, 8,923.46 and 4,350.45 is: 6,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.81 : 8,923.46 = 4,350.45 : x
  2. Step 2: Convert to fraction form
    6,463.81/8,923.46 = 4,350.45/x
  3. Step 3: Cross multiply
    6,463.81x = 8,923.46 × 4,350.45
  4. Step 4: Simplify right side
    6,463.81x = 38,821,040.31
  5. Step 5: Solve for x
    x = 38,821,040.31/6,463.81
  6. Step 6: Final answer
    x = 6,005.91

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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.