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Finding the Fourth Proportional to 30,357.71, 45,541.83 and 9,297.25

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Solution

The fourth proportional to 30,357.71, 45,541.83 and 9,297.25 is: 13,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.71 : 45,541.83 = 9,297.25 : x
  2. Step 2: Convert to fraction form
    30,357.71/45,541.83 = 9,297.25/x
  3. Step 3: Cross multiply
    30,357.71x = 45,541.83 × 9,297.25
  4. Step 4: Simplify right side
    30,357.71x = 423,413,778.97
  5. Step 5: Solve for x
    x = 423,413,778.97/30,357.71
  6. Step 6: Final answer
    x = 13,947.49

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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.