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Finding the Fourth Proportional to 6,528.34, 9,792.50 and 2,367.40

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Solution

The fourth proportional to 6,528.34, 9,792.50 and 2,367.40 is: 3,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.34 : 9,792.50 = 2,367.40 : x
  2. Step 2: Convert to fraction form
    6,528.34/9,792.50 = 2,367.40/x
  3. Step 3: Cross multiply
    6,528.34x = 9,792.50 × 2,367.40
  4. Step 4: Simplify right side
    6,528.34x = 23,182,764.50
  5. Step 5: Solve for x
    x = 23,182,764.50/6,528.34
  6. Step 6: Final answer
    x = 3,551.10

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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.