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Finding the Fourth Proportional to 7,272.64, 10,907.01 and 2,006.40

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Solution

The fourth proportional to 7,272.64, 10,907.01 and 2,006.40 is: 3,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.64 : 10,907.01 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    7,272.64/10,907.01 = 2,006.40/x
  3. Step 3: Cross multiply
    7,272.64x = 10,907.01 × 2,006.40
  4. Step 4: Simplify right side
    7,272.64x = 21,883,824.86
  5. Step 5: Solve for x
    x = 21,883,824.86/7,272.64
  6. Step 6: Final answer
    x = 3,009.06

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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.