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Finding the Fourth Proportional to 7,735.80, 10,670.98 and 4,897.96

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Solution

The fourth proportional to 7,735.80, 10,670.98 and 4,897.96 is: 6,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.80 : 10,670.98 = 4,897.96 : x
  2. Step 2: Convert to fraction form
    7,735.80/10,670.98 = 4,897.96/x
  3. Step 3: Cross multiply
    7,735.80x = 10,670.98 × 4,897.96
  4. Step 4: Simplify right side
    7,735.80x = 52,266,033.20
  5. Step 5: Solve for x
    x = 52,266,033.20/7,735.80
  6. Step 6: Final answer
    x = 6,756.38

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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.