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Finding the Fourth Proportional to 9,853.70, 13,583.21 and 7,464.42

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Solution

The fourth proportional to 9,853.70, 13,583.21 and 7,464.42 is: 10,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.70 : 13,583.21 = 7,464.42 : x
  2. Step 2: Convert to fraction form
    9,853.70/13,583.21 = 7,464.42/x
  3. Step 3: Cross multiply
    9,853.70x = 13,583.21 × 7,464.42
  4. Step 4: Simplify right side
    9,853.70x = 101,390,747.07
  5. Step 5: Solve for x
    x = 101,390,747.07/9,853.70
  6. Step 6: Final answer
    x = 10,289.62

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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.