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Finding the Fourth Proportional to 5,984.48, 8,243.17 and 4,213.01

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Solution

The fourth proportional to 5,984.48, 8,243.17 and 4,213.01 is: 5,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.48 : 8,243.17 = 4,213.01 : x
  2. Step 2: Convert to fraction form
    5,984.48/8,243.17 = 4,213.01/x
  3. Step 3: Cross multiply
    5,984.48x = 8,243.17 × 4,213.01
  4. Step 4: Simplify right side
    5,984.48x = 34,728,567.72
  5. Step 5: Solve for x
    x = 34,728,567.72/5,984.48
  6. Step 6: Final answer
    x = 5,803.10

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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.