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Finding the Fourth Proportional to 10,732, 14,815.01 and 6,758.95

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Solution

The fourth proportional to 10,732, 14,815.01 and 6,758.95 is: 9,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 14,815.01 = 6,758.95 : x
  2. Step 2: Convert to fraction form
    10,732/14,815.01 = 6,758.95/x
  3. Step 3: Cross multiply
    10,732x = 14,815.01 × 6,758.95
  4. Step 4: Simplify right side
    10,732x = 100,133,911.84
  5. Step 5: Solve for x
    x = 100,133,911.84/10,732
  6. Step 6: Final answer
    x = 9,330.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.