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Finding the Fourth Proportional to 4,971.78, 7,457.67 and 2,507.76

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Solution

The fourth proportional to 4,971.78, 7,457.67 and 2,507.76 is: 3,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.78 : 7,457.67 = 2,507.76 : x
  2. Step 2: Convert to fraction form
    4,971.78/7,457.67 = 2,507.76/x
  3. Step 3: Cross multiply
    4,971.78x = 7,457.67 × 2,507.76
  4. Step 4: Simplify right side
    4,971.78x = 18,702,046.52
  5. Step 5: Solve for x
    x = 18,702,046.52/4,971.78
  6. Step 6: Final answer
    x = 3,761.64

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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.