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Finding the Fourth Proportional to 11,598.21, 16,006.14 and 6,819.60

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Solution

The fourth proportional to 11,598.21, 16,006.14 and 6,819.60 is: 9,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.21 : 16,006.14 = 6,819.60 : x
  2. Step 2: Convert to fraction form
    11,598.21/16,006.14 = 6,819.60/x
  3. Step 3: Cross multiply
    11,598.21x = 16,006.14 × 6,819.60
  4. Step 4: Simplify right side
    11,598.21x = 109,155,472.34
  5. Step 5: Solve for x
    x = 109,155,472.34/11,598.21
  6. Step 6: Final answer
    x = 9,411.41

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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.