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Finding the Fourth Proportional to 9,576, 14,350.10 and 6,808.23

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Solution

The fourth proportional to 9,576, 14,350.10 and 6,808.23 is: 10,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 14,350.10 = 6,808.23 : x
  2. Step 2: Convert to fraction form
    9,576/14,350.10 = 6,808.23/x
  3. Step 3: Cross multiply
    9,576x = 14,350.10 × 6,808.23
  4. Step 4: Simplify right side
    9,576x = 97,698,747.28
  5. Step 5: Solve for x
    x = 97,698,747.28/9,576
  6. Step 6: Final answer
    x = 10,202.46

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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.