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Finding the Fourth Proportional to 4,674.17, 6,457.49 and 3,973.47

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Solution

The fourth proportional to 4,674.17, 6,457.49 and 3,973.47 is: 5,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.17 : 6,457.49 = 3,973.47 : x
  2. Step 2: Convert to fraction form
    4,674.17/6,457.49 = 3,973.47/x
  3. Step 3: Cross multiply
    4,674.17x = 6,457.49 × 3,973.47
  4. Step 4: Simplify right side
    4,674.17x = 25,658,622.92
  5. Step 5: Solve for x
    x = 25,658,622.92/4,674.17
  6. Step 6: Final answer
    x = 5,489.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.