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Finding the Fourth Proportional to 9,685, 14,527.50 and 2,389

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Solution

The fourth proportional to 9,685, 14,527.50 and 2,389 is: 3,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685 : 14,527.50 = 2,389 : x
  2. Step 2: Convert to fraction form
    9,685/14,527.50 = 2,389/x
  3. Step 3: Cross multiply
    9,685x = 14,527.50 × 2,389
  4. Step 4: Simplify right side
    9,685x = 34,706,197.50
  5. Step 5: Solve for x
    x = 34,706,197.50/9,685
  6. Step 6: Final answer
    x = 3,583.50

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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.