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Finding the Fourth Proportional to 15,946.60, 22,009.00 and 9,236.31

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Solution

The fourth proportional to 15,946.60, 22,009.00 and 9,236.31 is: 12,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.60 : 22,009.00 = 9,236.31 : x
  2. Step 2: Convert to fraction form
    15,946.60/22,009.00 = 9,236.31/x
  3. Step 3: Cross multiply
    15,946.60x = 22,009.00 × 9,236.31
  4. Step 4: Simplify right side
    15,946.60x = 203,281,930.82
  5. Step 5: Solve for x
    x = 203,281,930.82/15,946.60
  6. Step 6: Final answer
    x = 12,747.67

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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.