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Finding the Fourth Proportional to 11,800.68, 16,282.68 and 7,548.48

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Solution

The fourth proportional to 11,800.68, 16,282.68 and 7,548.48 is: 10,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.68 : 16,282.68 = 7,548.48 : x
  2. Step 2: Convert to fraction form
    11,800.68/16,282.68 = 7,548.48/x
  3. Step 3: Cross multiply
    11,800.68x = 16,282.68 × 7,548.48
  4. Step 4: Simplify right side
    11,800.68x = 122,909,484.33
  5. Step 5: Solve for x
    x = 122,909,484.33/11,800.68
  6. Step 6: Final answer
    x = 10,415.46

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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.