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Finding the Fourth Proportional to 6,924.84, 10,387.17 and 2,307.84

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Solution

The fourth proportional to 6,924.84, 10,387.17 and 2,307.84 is: 3,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.84 : 10,387.17 = 2,307.84 : x
  2. Step 2: Convert to fraction form
    6,924.84/10,387.17 = 2,307.84/x
  3. Step 3: Cross multiply
    6,924.84x = 10,387.17 × 2,307.84
  4. Step 4: Simplify right side
    6,924.84x = 23,971,926.41
  5. Step 5: Solve for x
    x = 23,971,926.41/6,924.84
  6. Step 6: Final answer
    x = 3,461.73

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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.