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Finding the Fourth Proportional to 15,097.70, 20,835.02 and 8,383.74

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Solution

The fourth proportional to 15,097.70, 20,835.02 and 8,383.74 is: 11,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.70 : 20,835.02 = 8,383.74 : x
  2. Step 2: Convert to fraction form
    15,097.70/20,835.02 = 8,383.74/x
  3. Step 3: Cross multiply
    15,097.70x = 20,835.02 × 8,383.74
  4. Step 4: Simplify right side
    15,097.70x = 174,675,390.57
  5. Step 5: Solve for x
    x = 174,675,390.57/15,097.70
  6. Step 6: Final answer
    x = 11,569.67

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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.