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Finding the Fourth Proportional to 13,590.56, 18,755.16 and 8,212.24

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Solution

The fourth proportional to 13,590.56, 18,755.16 and 8,212.24 is: 11,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.56 : 18,755.16 = 8,212.24 : x
  2. Step 2: Convert to fraction form
    13,590.56/18,755.16 = 8,212.24/x
  3. Step 3: Cross multiply
    13,590.56x = 18,755.16 × 8,212.24
  4. Step 4: Simplify right side
    13,590.56x = 154,021,875.16
  5. Step 5: Solve for x
    x = 154,021,875.16/13,590.56
  6. Step 6: Final answer
    x = 11,333.00

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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.