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Finding the Fourth Proportional to 7,853.44, 10,837.16 and 4,495.44

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Solution

The fourth proportional to 7,853.44, 10,837.16 and 4,495.44 is: 6,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.44 : 10,837.16 = 4,495.44 : x
  2. Step 2: Convert to fraction form
    7,853.44/10,837.16 = 4,495.44/x
  3. Step 3: Cross multiply
    7,853.44x = 10,837.16 × 4,495.44
  4. Step 4: Simplify right side
    7,853.44x = 48,717,802.55
  5. Step 5: Solve for x
    x = 48,717,802.55/7,853.44
  6. Step 6: Final answer
    x = 6,203.37

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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.