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Finding the Fourth Proportional to 5,733.96, 7,914.42 and 4,697.16

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Solution

The fourth proportional to 5,733.96, 7,914.42 and 4,697.16 is: 6,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.96 : 7,914.42 = 4,697.16 : x
  2. Step 2: Convert to fraction form
    5,733.96/7,914.42 = 4,697.16/x
  3. Step 3: Cross multiply
    5,733.96x = 7,914.42 × 4,697.16
  4. Step 4: Simplify right side
    5,733.96x = 37,175,297.05
  5. Step 5: Solve for x
    x = 37,175,297.05/5,733.96
  6. Step 6: Final answer
    x = 6,483.35

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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.