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Finding the Fourth Proportional to 6,156.85, 9,235.27 and 1,539.85

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Solution

The fourth proportional to 6,156.85, 9,235.27 and 1,539.85 is: 2,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.85 : 9,235.27 = 1,539.85 : x
  2. Step 2: Convert to fraction form
    6,156.85/9,235.27 = 1,539.85/x
  3. Step 3: Cross multiply
    6,156.85x = 9,235.27 × 1,539.85
  4. Step 4: Simplify right side
    6,156.85x = 14,220,876.63
  5. Step 5: Solve for x
    x = 14,220,876.63/6,156.85
  6. Step 6: Final answer
    x = 2,309.77

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Double scale
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Similar ratio
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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.