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Finding the Fourth Proportional to 6,522.57, 9,784.62 and 2,364.54

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Solution

The fourth proportional to 6,522.57, 9,784.62 and 2,364.54 is: 3,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.57 : 9,784.62 = 2,364.54 : x
  2. Step 2: Convert to fraction form
    6,522.57/9,784.62 = 2,364.54/x
  3. Step 3: Cross multiply
    6,522.57x = 9,784.62 × 2,364.54
  4. Step 4: Simplify right side
    6,522.57x = 23,136,076.45
  5. Step 5: Solve for x
    x = 23,136,076.45/6,522.57
  6. Step 6: Final answer
    x = 3,547.08

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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.