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Finding the Fourth Proportional to 9,662.16, 14,483.22 and 5,493.20

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Solution

The fourth proportional to 9,662.16, 14,483.22 and 5,493.20 is: 8,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.16 : 14,483.22 = 5,493.20 : x
  2. Step 2: Convert to fraction form
    9,662.16/14,483.22 = 5,493.20/x
  3. Step 3: Cross multiply
    9,662.16x = 14,483.22 × 5,493.20
  4. Step 4: Simplify right side
    9,662.16x = 79,559,224.10
  5. Step 5: Solve for x
    x = 79,559,224.10/9,662.16
  6. Step 6: Final answer
    x = 8,234.10

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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.