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Finding the Fourth Proportional to 11,217.16, 16,807.14 and 6,821.32

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Solution

The fourth proportional to 11,217.16, 16,807.14 and 6,821.32 is: 10,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.16 : 16,807.14 = 6,821.32 : x
  2. Step 2: Convert to fraction form
    11,217.16/16,807.14 = 6,821.32/x
  3. Step 3: Cross multiply
    11,217.16x = 16,807.14 × 6,821.32
  4. Step 4: Simplify right side
    11,217.16x = 114,646,880.22
  5. Step 5: Solve for x
    x = 114,646,880.22/11,217.16
  6. Step 6: Final answer
    x = 10,220.67

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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.