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Finding the Fourth Proportional to 4,131.63, 6,197.46 and 1,053.63

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Solution

The fourth proportional to 4,131.63, 6,197.46 and 1,053.63 is: 1,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.63 : 6,197.46 = 1,053.63 : x
  2. Step 2: Convert to fraction form
    4,131.63/6,197.46 = 1,053.63/x
  3. Step 3: Cross multiply
    4,131.63x = 6,197.46 × 1,053.63
  4. Step 4: Simplify right side
    4,131.63x = 6,529,829.78
  5. Step 5: Solve for x
    x = 6,529,829.78/4,131.63
  6. Step 6: Final answer
    x = 1,580.45

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Half scale
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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.