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Finding the Fourth Proportional to 7,671.54, 11,509.73 and 2,741.07

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Solution

The fourth proportional to 7,671.54, 11,509.73 and 2,741.07 is: 4,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.54 : 11,509.73 = 2,741.07 : x
  2. Step 2: Convert to fraction form
    7,671.54/11,509.73 = 2,741.07/x
  3. Step 3: Cross multiply
    7,671.54x = 11,509.73 × 2,741.07
  4. Step 4: Simplify right side
    7,671.54x = 31,548,975.61
  5. Step 5: Solve for x
    x = 31,548,975.61/7,671.54
  6. Step 6: Final answer
    x = 4,112.47

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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.