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Finding the Fourth Proportional to 6,505.74, 8,971.96 and 4,348.52

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Solution

The fourth proportional to 6,505.74, 8,971.96 and 4,348.52 is: 5,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.74 : 8,971.96 = 4,348.52 : x
  2. Step 2: Convert to fraction form
    6,505.74/8,971.96 = 4,348.52/x
  3. Step 3: Cross multiply
    6,505.74x = 8,971.96 × 4,348.52
  4. Step 4: Simplify right side
    6,505.74x = 39,014,747.50
  5. Step 5: Solve for x
    x = 39,014,747.50/6,505.74
  6. Step 6: Final answer
    x = 5,996.97

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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.