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Finding the Fourth Proportional to 5,633.93, 8,457.78 and 5,175.47

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Solution

The fourth proportional to 5,633.93, 8,457.78 and 5,175.47 is: 7,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.93 : 8,457.78 = 5,175.47 : x
  2. Step 2: Convert to fraction form
    5,633.93/8,457.78 = 5,175.47/x
  3. Step 3: Cross multiply
    5,633.93x = 8,457.78 × 5,175.47
  4. Step 4: Simplify right side
    5,633.93x = 43,772,986.66
  5. Step 5: Solve for x
    x = 43,772,986.66/5,633.93
  6. Step 6: Final answer
    x = 7,769.53

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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.