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Finding the Fourth Proportional to 13,562.10, 20,347.20 and 6,993

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Solution

The fourth proportional to 13,562.10, 20,347.20 and 6,993 is: 10,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.10 : 20,347.20 = 6,993 : x
  2. Step 2: Convert to fraction form
    13,562.10/20,347.20 = 6,993/x
  3. Step 3: Cross multiply
    13,562.10x = 20,347.20 × 6,993
  4. Step 4: Simplify right side
    13,562.10x = 142,287,969.60
  5. Step 5: Solve for x
    x = 142,287,969.60/13,562.10
  6. Step 6: Final answer
    x = 10,491.59

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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.