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Finding the Fourth Proportional to 6,354.45, 9,532.35 and 1,971.54

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Solution

The fourth proportional to 6,354.45, 9,532.35 and 1,971.54 is: 2,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.45 : 9,532.35 = 1,971.54 : x
  2. Step 2: Convert to fraction form
    6,354.45/9,532.35 = 1,971.54/x
  3. Step 3: Cross multiply
    6,354.45x = 9,532.35 × 1,971.54
  4. Step 4: Simplify right side
    6,354.45x = 18,793,409.32
  5. Step 5: Solve for x
    x = 18,793,409.32/6,354.45
  6. Step 6: Final answer
    x = 2,957.52

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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.