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Finding the Fourth Proportional to 9,576, 13,214.91 and 5,599.31

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Solution

The fourth proportional to 9,576, 13,214.91 and 5,599.31 is: 7,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 13,214.91 = 5,599.31 : x
  2. Step 2: Convert to fraction form
    9,576/13,214.91 = 5,599.31/x
  3. Step 3: Cross multiply
    9,576x = 13,214.91 × 5,599.31
  4. Step 4: Simplify right side
    9,576x = 73,994,283.64
  5. Step 5: Solve for x
    x = 73,994,283.64/9,576
  6. Step 6: Final answer
    x = 7,727.06

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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.