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Finding the Fourth Proportional to 11,749.52, 16,208.52 and 7,032.08

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Solution

The fourth proportional to 11,749.52, 16,208.52 and 7,032.08 is: 9,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.52 : 16,208.52 = 7,032.08 : x
  2. Step 2: Convert to fraction form
    11,749.52/16,208.52 = 7,032.08/x
  3. Step 3: Cross multiply
    11,749.52x = 16,208.52 × 7,032.08
  4. Step 4: Simplify right side
    11,749.52x = 113,979,609.32
  5. Step 5: Solve for x
    x = 113,979,609.32/11,749.52
  6. Step 6: Final answer
    x = 9,700.79

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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.