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Finding the Fourth Proportional to 7,602.36, 11,385.16 and 5,845.20

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Solution

The fourth proportional to 7,602.36, 11,385.16 and 5,845.20 is: 8,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.36 : 11,385.16 = 5,845.20 : x
  2. Step 2: Convert to fraction form
    7,602.36/11,385.16 = 5,845.20/x
  3. Step 3: Cross multiply
    7,602.36x = 11,385.16 × 5,845.20
  4. Step 4: Simplify right side
    7,602.36x = 66,548,537.23
  5. Step 5: Solve for x
    x = 66,548,537.23/7,602.36
  6. Step 6: Final answer
    x = 8,753.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.