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Finding the Fourth Proportional to 9,674, 14,511.16 and 4,202

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Solution

The fourth proportional to 9,674, 14,511.16 and 4,202 is: 6,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674 : 14,511.16 = 4,202 : x
  2. Step 2: Convert to fraction form
    9,674/14,511.16 = 4,202/x
  3. Step 3: Cross multiply
    9,674x = 14,511.16 × 4,202
  4. Step 4: Simplify right side
    9,674x = 60,975,894.32
  5. Step 5: Solve for x
    x = 60,975,894.32/9,674
  6. Step 6: Final answer
    x = 6,303.07

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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.