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Finding the Fourth Proportional to 13,661.76, 20,495.86 and 4,427.76

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Solution

The fourth proportional to 13,661.76, 20,495.86 and 4,427.76 is: 6,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.76 : 20,495.86 = 4,427.76 : x
  2. Step 2: Convert to fraction form
    13,661.76/20,495.86 = 4,427.76/x
  3. Step 3: Cross multiply
    13,661.76x = 20,495.86 × 4,427.76
  4. Step 4: Simplify right side
    13,661.76x = 90,750,749.07
  5. Step 5: Solve for x
    x = 90,750,749.07/13,661.76
  6. Step 6: Final answer
    x = 6,642.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.