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Finding the Fourth Proportional to 12,254.54, 16,909.02 and 8,004.47

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Solution

The fourth proportional to 12,254.54, 16,909.02 and 8,004.47 is: 11,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.54 : 16,909.02 = 8,004.47 : x
  2. Step 2: Convert to fraction form
    12,254.54/16,909.02 = 8,004.47/x
  3. Step 3: Cross multiply
    12,254.54x = 16,909.02 × 8,004.47
  4. Step 4: Simplify right side
    12,254.54x = 135,347,658.77
  5. Step 5: Solve for x
    x = 135,347,658.77/12,254.54
  6. Step 6: Final answer
    x = 11,044.70

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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.