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Finding the Fourth Proportional to 8,509.96, 11,735.94 and 5,637.49

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Solution

The fourth proportional to 8,509.96, 11,735.94 and 5,637.49 is: 7,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.96 : 11,735.94 = 5,637.49 : x
  2. Step 2: Convert to fraction form
    8,509.96/11,735.94 = 5,637.49/x
  3. Step 3: Cross multiply
    8,509.96x = 11,735.94 × 5,637.49
  4. Step 4: Simplify right side
    8,509.96x = 66,161,244.39
  5. Step 5: Solve for x
    x = 66,161,244.39/8,509.96
  6. Step 6: Final answer
    x = 7,774.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.