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Finding the Fourth Proportional to 4,971.62, 7,457.75 and 1,640.09

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Solution

The fourth proportional to 4,971.62, 7,457.75 and 1,640.09 is: 2,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.62 : 7,457.75 = 1,640.09 : x
  2. Step 2: Convert to fraction form
    4,971.62/7,457.75 = 1,640.09/x
  3. Step 3: Cross multiply
    4,971.62x = 7,457.75 × 1,640.09
  4. Step 4: Simplify right side
    4,971.62x = 12,231,373.00
  5. Step 5: Solve for x
    x = 12,231,373.00/4,971.62
  6. Step 6: Final answer
    x = 2,460.24

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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.