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Finding the Fourth Proportional to 10,737.26, 14,824.06 and 7,157.26

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Solution

The fourth proportional to 10,737.26, 14,824.06 and 7,157.26 is: 9,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.26 : 14,824.06 = 7,157.26 : x
  2. Step 2: Convert to fraction form
    10,737.26/14,824.06 = 7,157.26/x
  3. Step 3: Cross multiply
    10,737.26x = 14,824.06 × 7,157.26
  4. Step 4: Simplify right side
    10,737.26x = 106,099,692.57
  5. Step 5: Solve for x
    x = 106,099,692.57/10,737.26
  6. Step 6: Final answer
    x = 9,881.45

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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.