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Finding the Fourth Proportional to 6,457.70, 9,686.55 and 4,997.90

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Solution

The fourth proportional to 6,457.70, 9,686.55 and 4,997.90 is: 7,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.70 : 9,686.55 = 4,997.90 : x
  2. Step 2: Convert to fraction form
    6,457.70/9,686.55 = 4,997.90/x
  3. Step 3: Cross multiply
    6,457.70x = 9,686.55 × 4,997.90
  4. Step 4: Simplify right side
    6,457.70x = 48,412,408.25
  5. Step 5: Solve for x
    x = 48,412,408.25/6,457.70
  6. Step 6: Final answer
    x = 7,496.85

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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.