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Finding the Fourth Proportional to 7,203.78, 10,805.76 and 2,009.34

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Solution

The fourth proportional to 7,203.78, 10,805.76 and 2,009.34 is: 3,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.78 : 10,805.76 = 2,009.34 : x
  2. Step 2: Convert to fraction form
    7,203.78/10,805.76 = 2,009.34/x
  3. Step 3: Cross multiply
    7,203.78x = 10,805.76 × 2,009.34
  4. Step 4: Simplify right side
    7,203.78x = 21,712,445.80
  5. Step 5: Solve for x
    x = 21,712,445.80/7,203.78
  6. Step 6: Final answer
    x = 3,014.04

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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.