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Finding the Fourth Proportional to 6,974.71, 9,624.02 and 4,459.05

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Solution

The fourth proportional to 6,974.71, 9,624.02 and 4,459.05 is: 6,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.71 : 9,624.02 = 4,459.05 : x
  2. Step 2: Convert to fraction form
    6,974.71/9,624.02 = 4,459.05/x
  3. Step 3: Cross multiply
    6,974.71x = 9,624.02 × 4,459.05
  4. Step 4: Simplify right side
    6,974.71x = 42,913,964.09
  5. Step 5: Solve for x
    x = 42,913,964.09/6,974.71
  6. Step 6: Final answer
    x = 6,152.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.