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Finding the Fourth Proportional to 6,455.88, 9,680.94 and 2,349

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Solution

The fourth proportional to 6,455.88, 9,680.94 and 2,349 is: 3,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.88 : 9,680.94 = 2,349 : x
  2. Step 2: Convert to fraction form
    6,455.88/9,680.94 = 2,349/x
  3. Step 3: Cross multiply
    6,455.88x = 9,680.94 × 2,349
  4. Step 4: Simplify right side
    6,455.88x = 22,740,528.06
  5. Step 5: Solve for x
    x = 22,740,528.06/6,455.88
  6. Step 6: Final answer
    x = 3,522.45

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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.