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Finding the Fourth Proportional to 9,651, 14,476.50 and 2,355

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Solution

The fourth proportional to 9,651, 14,476.50 and 2,355 is: 3,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651 : 14,476.50 = 2,355 : x
  2. Step 2: Convert to fraction form
    9,651/14,476.50 = 2,355/x
  3. Step 3: Cross multiply
    9,651x = 14,476.50 × 2,355
  4. Step 4: Simplify right side
    9,651x = 34,092,157.50
  5. Step 5: Solve for x
    x = 34,092,157.50/9,651
  6. Step 6: Final answer
    x = 3,532.50

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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.