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Finding the Fourth Proportional to 8,906.54, 13,357.76 and 3,973.50

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Solution

The fourth proportional to 8,906.54, 13,357.76 and 3,973.50 is: 5,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.54 : 13,357.76 = 3,973.50 : x
  2. Step 2: Convert to fraction form
    8,906.54/13,357.76 = 3,973.50/x
  3. Step 3: Cross multiply
    8,906.54x = 13,357.76 × 3,973.50
  4. Step 4: Simplify right side
    8,906.54x = 53,077,039.49
  5. Step 5: Solve for x
    x = 53,077,039.49/8,906.54
  6. Step 6: Final answer
    x = 5,959.34

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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.