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Finding the Fourth Proportional to 9,688, 14,532.14 and 2,762.50

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Solution

The fourth proportional to 9,688, 14,532.14 and 2,762.50 is: 4,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688 : 14,532.14 = 2,762.50 : x
  2. Step 2: Convert to fraction form
    9,688/14,532.14 = 2,762.50/x
  3. Step 3: Cross multiply
    9,688x = 14,532.14 × 2,762.50
  4. Step 4: Simplify right side
    9,688x = 40,145,036.75
  5. Step 5: Solve for x
    x = 40,145,036.75/9,688
  6. Step 6: Final answer
    x = 4,143.79

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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.