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Finding the Fourth Proportional to 11,500.34, 15,871.92 and 7,023.14

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Solution

The fourth proportional to 11,500.34, 15,871.92 and 7,023.14 is: 9,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.34 : 15,871.92 = 7,023.14 : x
  2. Step 2: Convert to fraction form
    11,500.34/15,871.92 = 7,023.14/x
  3. Step 3: Cross multiply
    11,500.34x = 15,871.92 × 7,023.14
  4. Step 4: Simplify right side
    11,500.34x = 111,470,636.87
  5. Step 5: Solve for x
    x = 111,470,636.87/11,500.34
  6. Step 6: Final answer
    x = 9,692.82

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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.