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Finding the Fourth Proportional to 4,596.46, 6,343.74 and 4,471.38

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Solution

The fourth proportional to 4,596.46, 6,343.74 and 4,471.38 is: 6,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.46 : 6,343.74 = 4,471.38 : x
  2. Step 2: Convert to fraction form
    4,596.46/6,343.74 = 4,471.38/x
  3. Step 3: Cross multiply
    4,596.46x = 6,343.74 × 4,471.38
  4. Step 4: Simplify right side
    4,596.46x = 28,365,272.16
  5. Step 5: Solve for x
    x = 28,365,272.16/4,596.46
  6. Step 6: Final answer
    x = 6,171.11

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Half scale
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Double 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.