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Finding the Fourth Proportional to 7,009.63, 10,512.83 and 2,078.08

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Solution

The fourth proportional to 7,009.63, 10,512.83 and 2,078.08 is: 3,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.63 : 10,512.83 = 2,078.08 : x
  2. Step 2: Convert to fraction form
    7,009.63/10,512.83 = 2,078.08/x
  3. Step 3: Cross multiply
    7,009.63x = 10,512.83 × 2,078.08
  4. Step 4: Simplify right side
    7,009.63x = 21,846,522.85
  5. Step 5: Solve for x
    x = 21,846,522.85/7,009.63
  6. Step 6: Final answer
    x = 3,116.64

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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.