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Finding the Fourth Proportional to 7,637.58, 11,460.42 and 3,693.69

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Solution

The fourth proportional to 7,637.58, 11,460.42 and 3,693.69 is: 5,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.58 : 11,460.42 = 3,693.69 : x
  2. Step 2: Convert to fraction form
    7,637.58/11,460.42 = 3,693.69/x
  3. Step 3: Cross multiply
    7,637.58x = 11,460.42 × 3,693.69
  4. Step 4: Simplify right side
    7,637.58x = 42,331,238.75
  5. Step 5: Solve for x
    x = 42,331,238.75/7,637.58
  6. Step 6: Final answer
    x = 5,542.49

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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.