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Finding the Fourth Proportional to 7,645.76, 11,470.48 and 2,380.64

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Solution

The fourth proportional to 7,645.76, 11,470.48 and 2,380.64 is: 3,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.76 : 11,470.48 = 2,380.64 : x
  2. Step 2: Convert to fraction form
    7,645.76/11,470.48 = 2,380.64/x
  3. Step 3: Cross multiply
    7,645.76x = 11,470.48 × 2,380.64
  4. Step 4: Simplify right side
    7,645.76x = 27,307,083.51
  5. Step 5: Solve for x
    x = 27,307,083.51/7,645.76
  6. Step 6: Final answer
    x = 3,571.53

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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.