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Finding the Fourth Proportional to 4,904.55, 7,325.64 and 4,213.22

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Solution

The fourth proportional to 4,904.55, 7,325.64 and 4,213.22 is: 6,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.55 : 7,325.64 = 4,213.22 : x
  2. Step 2: Convert to fraction form
    4,904.55/7,325.64 = 4,213.22/x
  3. Step 3: Cross multiply
    4,904.55x = 7,325.64 × 4,213.22
  4. Step 4: Simplify right side
    4,904.55x = 30,864,496.33
  5. Step 5: Solve for x
    x = 30,864,496.33/4,904.55
  6. Step 6: Final answer
    x = 6,293.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.