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Finding the Fourth Proportional to 7,114, 9,814.80 and 4,460.44

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Solution

The fourth proportional to 7,114, 9,814.80 and 4,460.44 is: 6,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114 : 9,814.80 = 4,460.44 : x
  2. Step 2: Convert to fraction form
    7,114/9,814.80 = 4,460.44/x
  3. Step 3: Cross multiply
    7,114x = 9,814.80 × 4,460.44
  4. Step 4: Simplify right side
    7,114x = 43,778,326.51
  5. Step 5: Solve for x
    x = 43,778,326.51/7,114
  6. Step 6: Final answer
    x = 6,153.83

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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.