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Finding the Fourth Proportional to 13,101.67, 19,652.46 and 5,310.46

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Solution

The fourth proportional to 13,101.67, 19,652.46 and 5,310.46 is: 7,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.67 : 19,652.46 = 5,310.46 : x
  2. Step 2: Convert to fraction form
    13,101.67/19,652.46 = 5,310.46/x
  3. Step 3: Cross multiply
    13,101.67x = 19,652.46 × 5,310.46
  4. Step 4: Simplify right side
    13,101.67x = 104,363,602.73
  5. Step 5: Solve for x
    x = 104,363,602.73/13,101.67
  6. Step 6: Final answer
    x = 7,965.67

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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.