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Finding the Fourth Proportional to 7,009.76, 10,512.36 and 3,116.96

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Solution

The fourth proportional to 7,009.76, 10,512.36 and 3,116.96 is: 4,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.76 : 10,512.36 = 3,116.96 : x
  2. Step 2: Convert to fraction form
    7,009.76/10,512.36 = 3,116.96/x
  3. Step 3: Cross multiply
    7,009.76x = 10,512.36 × 3,116.96
  4. Step 4: Simplify right side
    7,009.76x = 32,766,605.63
  5. Step 5: Solve for x
    x = 32,766,605.63/7,009.76
  6. Step 6: Final answer
    x = 4,674.43

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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.