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Finding the Fourth Proportional to 11,812.56, 16,303.56 and 7,033.56

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Solution

The fourth proportional to 11,812.56, 16,303.56 and 7,033.56 is: 9,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.56 : 16,303.56 = 7,033.56 : x
  2. Step 2: Convert to fraction form
    11,812.56/16,303.56 = 7,033.56/x
  3. Step 3: Cross multiply
    11,812.56x = 16,303.56 × 7,033.56
  4. Step 4: Simplify right side
    11,812.56x = 114,672,067.47
  5. Step 5: Solve for x
    x = 114,672,067.47/11,812.56
  6. Step 6: Final answer
    x = 9,707.64

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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.