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Finding the Fourth Proportional to 9,193.60, 13,796.10 and 4,814.20

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Solution

The fourth proportional to 9,193.60, 13,796.10 and 4,814.20 is: 7,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.60 : 13,796.10 = 4,814.20 : x
  2. Step 2: Convert to fraction form
    9,193.60/13,796.10 = 4,814.20/x
  3. Step 3: Cross multiply
    9,193.60x = 13,796.10 × 4,814.20
  4. Step 4: Simplify right side
    9,193.60x = 66,417,184.62
  5. Step 5: Solve for x
    x = 66,417,184.62/9,193.60
  6. Step 6: Final answer
    x = 7,224.28

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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.