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Finding the Fourth Proportional to 6,597.92, 9,896.64 and 1,980.80

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Solution

The fourth proportional to 6,597.92, 9,896.64 and 1,980.80 is: 2,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.92 : 9,896.64 = 1,980.80 : x
  2. Step 2: Convert to fraction form
    6,597.92/9,896.64 = 1,980.80/x
  3. Step 3: Cross multiply
    6,597.92x = 9,896.64 × 1,980.80
  4. Step 4: Simplify right side
    6,597.92x = 19,603,264.51
  5. Step 5: Solve for x
    x = 19,603,264.51/6,597.92
  6. Step 6: Final answer
    x = 2,971.13

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Similar ratio
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1.5x scale

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.