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Finding the Fourth Proportional to 5,907, 8,151.57 and 3,254.66

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Solution

The fourth proportional to 5,907, 8,151.57 and 3,254.66 is: 4,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907 : 8,151.57 = 3,254.66 : x
  2. Step 2: Convert to fraction form
    5,907/8,151.57 = 3,254.66/x
  3. Step 3: Cross multiply
    5,907x = 8,151.57 × 3,254.66
  4. Step 4: Simplify right side
    5,907x = 26,530,588.82
  5. Step 5: Solve for x
    x = 26,530,588.82/5,907
  6. Step 6: Final answer
    x = 4,491.38

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Half scale
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Double scale
Find fourth proportional to 5,908, 8,152.95 and 3,255.66
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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.