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Finding the Fourth Proportional to 7,832.96, 11,692.57 and 7,254.80

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Solution

The fourth proportional to 7,832.96, 11,692.57 and 7,254.80 is: 10,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.96 : 11,692.57 = 7,254.80 : x
  2. Step 2: Convert to fraction form
    7,832.96/11,692.57 = 7,254.80/x
  3. Step 3: Cross multiply
    7,832.96x = 11,692.57 × 7,254.80
  4. Step 4: Simplify right side
    7,832.96x = 84,827,256.84
  5. Step 5: Solve for x
    x = 84,827,256.84/7,832.96
  6. Step 6: Final answer
    x = 10,829.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.