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Finding the Fourth Proportional to 4,783.46, 7,181.22 and 4,561.88

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Solution

The fourth proportional to 4,783.46, 7,181.22 and 4,561.88 is: 6,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.46 : 7,181.22 = 4,561.88 : x
  2. Step 2: Convert to fraction form
    4,783.46/7,181.22 = 4,561.88/x
  3. Step 3: Cross multiply
    4,783.46x = 7,181.22 × 4,561.88
  4. Step 4: Simplify right side
    4,783.46x = 32,759,863.89
  5. Step 5: Solve for x
    x = 32,759,863.89/4,783.46
  6. Step 6: Final answer
    x = 6,848.57

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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.