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Finding the Fourth Proportional to 4,648.68, 6,973.67 and 2,457.56

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Solution

The fourth proportional to 4,648.68, 6,973.67 and 2,457.56 is: 3,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.68 : 6,973.67 = 2,457.56 : x
  2. Step 2: Convert to fraction form
    4,648.68/6,973.67 = 2,457.56/x
  3. Step 3: Cross multiply
    4,648.68x = 6,973.67 × 2,457.56
  4. Step 4: Simplify right side
    4,648.68x = 17,138,217.59
  5. Step 5: Solve for x
    x = 17,138,217.59/4,648.68
  6. Step 6: Final answer
    x = 3,686.68

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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.