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Finding the Fourth Proportional to 5,651.50, 7,795.72 and 3,412.06

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Solution

The fourth proportional to 5,651.50, 7,795.72 and 3,412.06 is: 4,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.50 : 7,795.72 = 3,412.06 : x
  2. Step 2: Convert to fraction form
    5,651.50/7,795.72 = 3,412.06/x
  3. Step 3: Cross multiply
    5,651.50x = 7,795.72 × 3,412.06
  4. Step 4: Simplify right side
    5,651.50x = 26,599,464.38
  5. Step 5: Solve for x
    x = 26,599,464.38/5,651.50
  6. Step 6: Final answer
    x = 4,706.62

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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.