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Finding the Fourth Proportional to 6,560.96, 9,051.26 and 4,435.74

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Solution

The fourth proportional to 6,560.96, 9,051.26 and 4,435.74 is: 6,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.96 : 9,051.26 = 4,435.74 : x
  2. Step 2: Convert to fraction form
    6,560.96/9,051.26 = 4,435.74/x
  3. Step 3: Cross multiply
    6,560.96x = 9,051.26 × 4,435.74
  4. Step 4: Simplify right side
    6,560.96x = 40,149,013.85
  5. Step 5: Solve for x
    x = 40,149,013.85/6,560.96
  6. Step 6: Final answer
    x = 6,119.39

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Half scale
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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.