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Finding the Fourth Proportional to 6,530.03, 9,011.53 and 3,697.34

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Solution

The fourth proportional to 6,530.03, 9,011.53 and 3,697.34 is: 5,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.03 : 9,011.53 = 3,697.34 : x
  2. Step 2: Convert to fraction form
    6,530.03/9,011.53 = 3,697.34/x
  3. Step 3: Cross multiply
    6,530.03x = 9,011.53 × 3,697.34
  4. Step 4: Simplify right side
    6,530.03x = 33,318,724.06
  5. Step 5: Solve for x
    x = 33,318,724.06/6,530.03
  6. Step 6: Final answer
    x = 5,102.38

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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.