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Finding the Fourth Proportional to 12,027.48, 16,567.08 and 8,484.48

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Solution

The fourth proportional to 12,027.48, 16,567.08 and 8,484.48 is: 11,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.48 : 16,567.08 = 8,484.48 : x
  2. Step 2: Convert to fraction form
    12,027.48/16,567.08 = 8,484.48/x
  3. Step 3: Cross multiply
    12,027.48x = 16,567.08 × 8,484.48
  4. Step 4: Simplify right side
    12,027.48x = 140,563,058.92
  5. Step 5: Solve for x
    x = 140,563,058.92/12,027.48
  6. Step 6: Final answer
    x = 11,686.83

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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.