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Finding the Fourth Proportional to 5,463.81, 8,199 and 1,953.54

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Solution

The fourth proportional to 5,463.81, 8,199 and 1,953.54 is: 2,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.81 : 8,199 = 1,953.54 : x
  2. Step 2: Convert to fraction form
    5,463.81/8,199 = 1,953.54/x
  3. Step 3: Cross multiply
    5,463.81x = 8,199 × 1,953.54
  4. Step 4: Simplify right side
    5,463.81x = 16,017,074.46
  5. Step 5: Solve for x
    x = 16,017,074.46/5,463.81
  6. Step 6: Final answer
    x = 2,931.48

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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.