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Finding the Fourth Proportional to 13,495.59, 18,624.21 and 8,189.82

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Solution

The fourth proportional to 13,495.59, 18,624.21 and 8,189.82 is: 11,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.59 : 18,624.21 = 8,189.82 : x
  2. Step 2: Convert to fraction form
    13,495.59/18,624.21 = 8,189.82/x
  3. Step 3: Cross multiply
    13,495.59x = 18,624.21 × 8,189.82
  4. Step 4: Simplify right side
    13,495.59x = 152,528,927.54
  5. Step 5: Solve for x
    x = 152,528,927.54/13,495.59
  6. Step 6: Final answer
    x = 11,302.13

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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.