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Finding the Fourth Proportional to 10,772.56, 14,861.56 and 6,578.38

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Solution

The fourth proportional to 10,772.56, 14,861.56 and 6,578.38 is: 9,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.56 : 14,861.56 = 6,578.38 : x
  2. Step 2: Convert to fraction form
    10,772.56/14,861.56 = 6,578.38/x
  3. Step 3: Cross multiply
    10,772.56x = 14,861.56 × 6,578.38
  4. Step 4: Simplify right side
    10,772.56x = 97,764,881.87
  5. Step 5: Solve for x
    x = 97,764,881.87/10,772.56
  6. Step 6: Final answer
    x = 9,075.37

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1.5x scale

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.