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Finding the Fourth Proportional to 10,766, 14,857.32 and 6,576.56

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Solution

The fourth proportional to 10,766, 14,857.32 and 6,576.56 is: 9,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766 : 14,857.32 = 6,576.56 : x
  2. Step 2: Convert to fraction form
    10,766/14,857.32 = 6,576.56/x
  3. Step 3: Cross multiply
    10,766x = 14,857.32 × 6,576.56
  4. Step 4: Simplify right side
    10,766x = 97,710,056.42
  5. Step 5: Solve for x
    x = 97,710,056.42/10,766
  6. Step 6: Final answer
    x = 9,075.80

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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.