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Finding the Fourth Proportional to 6,522.84, 9,784.17 and 1,592.60

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Solution

The fourth proportional to 6,522.84, 9,784.17 and 1,592.60 is: 2,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.84 : 9,784.17 = 1,592.60 : x
  2. Step 2: Convert to fraction form
    6,522.84/9,784.17 = 1,592.60/x
  3. Step 3: Cross multiply
    6,522.84x = 9,784.17 × 1,592.60
  4. Step 4: Simplify right side
    6,522.84x = 15,582,220.22
  5. Step 5: Solve for x
    x = 15,582,220.22/6,522.84
  6. Step 6: Final answer
    x = 2,388.87

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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.