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Finding the Fourth Proportional to 6,597.12, 9,895.44 and 1,980

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Solution

The fourth proportional to 6,597.12, 9,895.44 and 1,980 is: 2,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.12 : 9,895.44 = 1,980 : x
  2. Step 2: Convert to fraction form
    6,597.12/9,895.44 = 1,980/x
  3. Step 3: Cross multiply
    6,597.12x = 9,895.44 × 1,980
  4. Step 4: Simplify right side
    6,597.12x = 19,592,971.20
  5. Step 5: Solve for x
    x = 19,592,971.20/6,597.12
  6. Step 6: Final answer
    x = 2,969.93

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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.