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Finding the Fourth Proportional to 29,298.54, 43,947.48 and 7,112.16

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Solution

The fourth proportional to 29,298.54, 43,947.48 and 7,112.16 is: 10,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298.54 : 43,947.48 = 7,112.16 : x
  2. Step 2: Convert to fraction form
    29,298.54/43,947.48 = 7,112.16/x
  3. Step 3: Cross multiply
    29,298.54x = 43,947.48 × 7,112.16
  4. Step 4: Simplify right side
    29,298.54x = 312,561,509.36
  5. Step 5: Solve for x
    x = 312,561,509.36/29,298.54
  6. Step 6: Final answer
    x = 10,668.16

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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.