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Finding the Fourth Proportional to 6,467.64, 9,701.46 and 3,003

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Solution

The fourth proportional to 6,467.64, 9,701.46 and 3,003 is: 4,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.64 : 9,701.46 = 3,003 : x
  2. Step 2: Convert to fraction form
    6,467.64/9,701.46 = 3,003/x
  3. Step 3: Cross multiply
    6,467.64x = 9,701.46 × 3,003
  4. Step 4: Simplify right side
    6,467.64x = 29,133,484.38
  5. Step 5: Solve for x
    x = 29,133,484.38/6,467.64
  6. Step 6: Final answer
    x = 4,504.50

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Double scale
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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.