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Finding the Fourth Proportional to 11,749.86, 16,216.08 and 7,504.82

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Solution

The fourth proportional to 11,749.86, 16,216.08 and 7,504.82 is: 10,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.86 : 16,216.08 = 7,504.82 : x
  2. Step 2: Convert to fraction form
    11,749.86/16,216.08 = 7,504.82/x
  3. Step 3: Cross multiply
    11,749.86x = 16,216.08 × 7,504.82
  4. Step 4: Simplify right side
    11,749.86x = 121,698,761.51
  5. Step 5: Solve for x
    x = 121,698,761.51/11,749.86
  6. Step 6: Final answer
    x = 10,357.46

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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.