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Finding the Fourth Proportional to 13,624.89, 20,437.74 and 7,046.88

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Solution

The fourth proportional to 13,624.89, 20,437.74 and 7,046.88 is: 10,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.89 : 20,437.74 = 7,046.88 : x
  2. Step 2: Convert to fraction form
    13,624.89/20,437.74 = 7,046.88/x
  3. Step 3: Cross multiply
    13,624.89x = 20,437.74 × 7,046.88
  4. Step 4: Simplify right side
    13,624.89x = 144,022,301.25
  5. Step 5: Solve for x
    x = 144,022,301.25/13,624.89
  6. Step 6: Final answer
    x = 10,570.53

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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.