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Finding the Fourth Proportional to 6,597, 9,896.04 and 1,980

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Solution

The fourth proportional to 6,597, 9,896.04 and 1,980 is: 2,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597 : 9,896.04 = 1,980 : x
  2. Step 2: Convert to fraction form
    6,597/9,896.04 = 1,980/x
  3. Step 3: Cross multiply
    6,597x = 9,896.04 × 1,980
  4. Step 4: Simplify right side
    6,597x = 19,594,159.20
  5. Step 5: Solve for x
    x = 19,594,159.20/6,597
  6. Step 6: Final answer
    x = 2,970.16

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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.