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Finding the Fourth Proportional to 9,597, 14,396.33 and 2,671.50

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Solution

The fourth proportional to 9,597, 14,396.33 and 2,671.50 is: 4,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597 : 14,396.33 = 2,671.50 : x
  2. Step 2: Convert to fraction form
    9,597/14,396.33 = 2,671.50/x
  3. Step 3: Cross multiply
    9,597x = 14,396.33 × 2,671.50
  4. Step 4: Simplify right side
    9,597x = 38,459,782.24
  5. Step 5: Solve for x
    x = 38,459,782.24/9,597
  6. Step 6: Final answer
    x = 4,007.48

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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.