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Finding the Fourth Proportional to 7,137.90, 9,848.72 and 4,484.34

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Solution

The fourth proportional to 7,137.90, 9,848.72 and 4,484.34 is: 6,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.90 : 9,848.72 = 4,484.34 : x
  2. Step 2: Convert to fraction form
    7,137.90/9,848.72 = 4,484.34/x
  3. Step 3: Cross multiply
    7,137.90x = 9,848.72 × 4,484.34
  4. Step 4: Simplify right side
    7,137.90x = 44,164,986.62
  5. Step 5: Solve for x
    x = 44,164,986.62/7,137.90
  6. Step 6: Final answer
    x = 6,187.39

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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.