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Finding the Fourth Proportional to 10,772.54, 14,865.09 and 6,057.26

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Solution

The fourth proportional to 10,772.54, 14,865.09 and 6,057.26 is: 8,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.54 : 14,865.09 = 6,057.26 : x
  2. Step 2: Convert to fraction form
    10,772.54/14,865.09 = 6,057.26/x
  3. Step 3: Cross multiply
    10,772.54x = 14,865.09 × 6,057.26
  4. Step 4: Simplify right side
    10,772.54x = 90,041,715.05
  5. Step 5: Solve for x
    x = 90,041,715.05/10,772.54
  6. Step 6: Final answer
    x = 8,358.45

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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.