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Finding the Fourth Proportional to 13,222.54, 19,798.27 and 6,969.54

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Solution

The fourth proportional to 13,222.54, 19,798.27 and 6,969.54 is: 10,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.54 : 19,798.27 = 6,969.54 : x
  2. Step 2: Convert to fraction form
    13,222.54/19,798.27 = 6,969.54/x
  3. Step 3: Cross multiply
    13,222.54x = 19,798.27 × 6,969.54
  4. Step 4: Simplify right side
    13,222.54x = 137,984,834.70
  5. Step 5: Solve for x
    x = 137,984,834.70/13,222.54
  6. Step 6: Final answer
    x = 10,435.58

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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.