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Finding the Fourth Proportional to 8,374.50, 11,556.96 and 4,648.50

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Solution

The fourth proportional to 8,374.50, 11,556.96 and 4,648.50 is: 6,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.50 : 11,556.96 = 4,648.50 : x
  2. Step 2: Convert to fraction form
    8,374.50/11,556.96 = 4,648.50/x
  3. Step 3: Cross multiply
    8,374.50x = 11,556.96 × 4,648.50
  4. Step 4: Simplify right side
    8,374.50x = 53,722,528.56
  5. Step 5: Solve for x
    x = 53,722,528.56/8,374.50
  6. Step 6: Final answer
    x = 6,415.01

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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.