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Finding the Fourth Proportional to 5,473.41, 8,211.41 and 1,775.64

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Solution

The fourth proportional to 5,473.41, 8,211.41 and 1,775.64 is: 2,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.41 : 8,211.41 = 1,775.64 : x
  2. Step 2: Convert to fraction form
    5,473.41/8,211.41 = 1,775.64/x
  3. Step 3: Cross multiply
    5,473.41x = 8,211.41 × 1,775.64
  4. Step 4: Simplify right side
    5,473.41x = 14,580,536.63
  5. Step 5: Solve for x
    x = 14,580,536.63/5,473.41
  6. Step 6: Final answer
    x = 2,663.89

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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.