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Finding the Fourth Proportional to 3,474.74, 5,212.98 and 1,009.50

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Solution

The fourth proportional to 3,474.74, 5,212.98 and 1,009.50 is: 1,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.74 : 5,212.98 = 1,009.50 : x
  2. Step 2: Convert to fraction form
    3,474.74/5,212.98 = 1,009.50/x
  3. Step 3: Cross multiply
    3,474.74x = 5,212.98 × 1,009.50
  4. Step 4: Simplify right side
    3,474.74x = 5,262,503.31
  5. Step 5: Solve for x
    x = 5,262,503.31/3,474.74
  6. Step 6: Final answer
    x = 1,514.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.