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Finding the Fourth Proportional to 12,026.64, 16,590.64 and 8,047.92

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Solution

The fourth proportional to 12,026.64, 16,590.64 and 8,047.92 is: 11,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.64 : 16,590.64 = 8,047.92 : x
  2. Step 2: Convert to fraction form
    12,026.64/16,590.64 = 8,047.92/x
  3. Step 3: Cross multiply
    12,026.64x = 16,590.64 × 8,047.92
  4. Step 4: Simplify right side
    12,026.64x = 133,520,143.47
  5. Step 5: Solve for x
    x = 133,520,143.47/12,026.64
  6. Step 6: Final answer
    x = 11,102.03

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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.