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Finding the Fourth Proportional to 11,637.78, 16,065.63 and 7,448.46

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Solution

The fourth proportional to 11,637.78, 16,065.63 and 7,448.46 is: 10,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.78 : 16,065.63 = 7,448.46 : x
  2. Step 2: Convert to fraction form
    11,637.78/16,065.63 = 7,448.46/x
  3. Step 3: Cross multiply
    11,637.78x = 16,065.63 × 7,448.46
  4. Step 4: Simplify right side
    11,637.78x = 119,664,202.43
  5. Step 5: Solve for x
    x = 119,664,202.43/11,637.78
  6. Step 6: Final answer
    x = 10,282.39

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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.