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Finding the Fourth Proportional to 5,984.96, 8,242.08 and 5,965.52

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Solution

The fourth proportional to 5,984.96, 8,242.08 and 5,965.52 is: 8,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.96 : 8,242.08 = 5,965.52 : x
  2. Step 2: Convert to fraction form
    5,984.96/8,242.08 = 5,965.52/x
  3. Step 3: Cross multiply
    5,984.96x = 8,242.08 × 5,965.52
  4. Step 4: Simplify right side
    5,984.96x = 49,168,293.08
  5. Step 5: Solve for x
    x = 49,168,293.08/5,984.96
  6. Step 6: Final answer
    x = 8,215.31

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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.