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Finding the Fourth Proportional to 5,634.66, 8,451.93 and 5,495.16

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Solution

The fourth proportional to 5,634.66, 8,451.93 and 5,495.16 is: 8,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.66 : 8,451.93 = 5,495.16 : x
  2. Step 2: Convert to fraction form
    5,634.66/8,451.93 = 5,495.16/x
  3. Step 3: Cross multiply
    5,634.66x = 8,451.93 × 5,495.16
  4. Step 4: Simplify right side
    5,634.66x = 46,444,707.66
  5. Step 5: Solve for x
    x = 46,444,707.66/5,634.66
  6. Step 6: Final answer
    x = 8,242.68

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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.