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Finding the Fourth Proportional to 6,530.16, 9,795.98 and 2,372.12

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Solution

The fourth proportional to 6,530.16, 9,795.98 and 2,372.12 is: 3,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.16 : 9,795.98 = 2,372.12 : x
  2. Step 2: Convert to fraction form
    6,530.16/9,795.98 = 2,372.12/x
  3. Step 3: Cross multiply
    6,530.16x = 9,795.98 × 2,372.12
  4. Step 4: Simplify right side
    6,530.16x = 23,237,240.08
  5. Step 5: Solve for x
    x = 23,237,240.08/6,530.16
  6. Step 6: Final answer
    x = 3,558.45

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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.