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Finding the Fourth Proportional to 6,530.70, 9,796.14 and 4,697.40

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Solution

The fourth proportional to 6,530.70, 9,796.14 and 4,697.40 is: 7,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.70 : 9,796.14 = 4,697.40 : x
  2. Step 2: Convert to fraction form
    6,530.70/9,796.14 = 4,697.40/x
  3. Step 3: Cross multiply
    6,530.70x = 9,796.14 × 4,697.40
  4. Step 4: Simplify right side
    6,530.70x = 46,016,388.04
  5. Step 5: Solve for x
    x = 46,016,388.04/6,530.70
  6. Step 6: Final answer
    x = 7,046.16

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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.