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Finding the Fourth Proportional to 6,530.16, 9,777 and 4,986.48

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Solution

The fourth proportional to 6,530.16, 9,777 and 4,986.48 is: 7,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.16 : 9,777 = 4,986.48 : x
  2. Step 2: Convert to fraction form
    6,530.16/9,777 = 4,986.48/x
  3. Step 3: Cross multiply
    6,530.16x = 9,777 × 4,986.48
  4. Step 4: Simplify right side
    6,530.16x = 48,752,814.96
  5. Step 5: Solve for x
    x = 48,752,814.96/6,530.16
  6. Step 6: Final answer
    x = 7,465.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.