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Finding the Fourth Proportional to 6,555.92, 9,822.93 and 2,852.60

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Solution

The fourth proportional to 6,555.92, 9,822.93 and 2,852.60 is: 4,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.92 : 9,822.93 = 2,852.60 : x
  2. Step 2: Convert to fraction form
    6,555.92/9,822.93 = 2,852.60/x
  3. Step 3: Cross multiply
    6,555.92x = 9,822.93 × 2,852.60
  4. Step 4: Simplify right side
    6,555.92x = 28,020,890.12
  5. Step 5: Solve for x
    x = 28,020,890.12/6,555.92
  6. Step 6: Final answer
    x = 4,274.14

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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.