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Finding the Fourth Proportional to 6,504.72, 8,975.16 and 3,709.68

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Solution

The fourth proportional to 6,504.72, 8,975.16 and 3,709.68 is: 5,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.72 : 8,975.16 = 3,709.68 : x
  2. Step 2: Convert to fraction form
    6,504.72/8,975.16 = 3,709.68/x
  3. Step 3: Cross multiply
    6,504.72x = 8,975.16 × 3,709.68
  4. Step 4: Simplify right side
    6,504.72x = 33,294,971.55
  5. Step 5: Solve for x
    x = 33,294,971.55/6,504.72
  6. Step 6: Final answer
    x = 5,118.59

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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.