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Finding the Fourth Proportional to 11,219.40, 16,829.10 and 9,491.40

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Solution

The fourth proportional to 11,219.40, 16,829.10 and 9,491.40 is: 14,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.40 : 16,829.10 = 9,491.40 : x
  2. Step 2: Convert to fraction form
    11,219.40/16,829.10 = 9,491.40/x
  3. Step 3: Cross multiply
    11,219.40x = 16,829.10 × 9,491.40
  4. Step 4: Simplify right side
    11,219.40x = 159,731,719.74
  5. Step 5: Solve for x
    x = 159,731,719.74/11,219.40
  6. Step 6: Final answer
    x = 14,237.10

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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.