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Finding the Fourth Proportional to 16,548.51, 24,822.78 and 7,777.02

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Solution

The fourth proportional to 16,548.51, 24,822.78 and 7,777.02 is: 11,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.51 : 24,822.78 = 7,777.02 : x
  2. Step 2: Convert to fraction form
    16,548.51/24,822.78 = 7,777.02/x
  3. Step 3: Cross multiply
    16,548.51x = 24,822.78 × 7,777.02
  4. Step 4: Simplify right side
    16,548.51x = 193,047,256.52
  5. Step 5: Solve for x
    x = 193,047,256.52/16,548.51
  6. Step 6: Final answer
    x = 11,665.54

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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.