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Finding the Fourth Proportional to 6,974.51, 10,457.51 and 4,883.09

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Solution

The fourth proportional to 6,974.51, 10,457.51 and 4,883.09 is: 7,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.51 : 10,457.51 = 4,883.09 : x
  2. Step 2: Convert to fraction form
    6,974.51/10,457.51 = 4,883.09/x
  3. Step 3: Cross multiply
    6,974.51x = 10,457.51 × 4,883.09
  4. Step 4: Simplify right side
    6,974.51x = 51,064,885.80
  5. Step 5: Solve for x
    x = 51,064,885.80/6,974.51
  6. Step 6: Final answer
    x = 7,321.65

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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.