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Finding the Fourth Proportional to 9,597.69, 14,378.07 and 5,889.09

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Solution

The fourth proportional to 9,597.69, 14,378.07 and 5,889.09 is: 8,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.69 : 14,378.07 = 5,889.09 : x
  2. Step 2: Convert to fraction form
    9,597.69/14,378.07 = 5,889.09/x
  3. Step 3: Cross multiply
    9,597.69x = 14,378.07 × 5,889.09
  4. Step 4: Simplify right side
    9,597.69x = 84,673,748.26
  5. Step 5: Solve for x
    x = 84,673,748.26/9,597.69
  6. Step 6: Final answer
    x = 8,822.30

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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.