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Finding the Fourth Proportional to 9,647.92, 13,321.68 and 7,406.24

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Solution

The fourth proportional to 9,647.92, 13,321.68 and 7,406.24 is: 10,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.92 : 13,321.68 = 7,406.24 : x
  2. Step 2: Convert to fraction form
    9,647.92/13,321.68 = 7,406.24/x
  3. Step 3: Cross multiply
    9,647.92x = 13,321.68 × 7,406.24
  4. Step 4: Simplify right side
    9,647.92x = 98,663,559.28
  5. Step 5: Solve for x
    x = 98,663,559.28/9,647.92
  6. Step 6: Final answer
    x = 10,226.41

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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.