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Finding the Fourth Proportional to 9,682, 14,523.16 and 4,210

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Solution

The fourth proportional to 9,682, 14,523.16 and 4,210 is: 6,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 14,523.16 = 4,210 : x
  2. Step 2: Convert to fraction form
    9,682/14,523.16 = 4,210/x
  3. Step 3: Cross multiply
    9,682x = 14,523.16 × 4,210
  4. Step 4: Simplify right side
    9,682x = 61,142,503.60
  5. Step 5: Solve for x
    x = 61,142,503.60/9,682
  6. Step 6: Final answer
    x = 6,315.07

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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.