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Finding the Fourth Proportional to 9,830, 14,747.43 and 2,904.50

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Solution

The fourth proportional to 9,830, 14,747.43 and 2,904.50 is: 4,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830 : 14,747.43 = 2,904.50 : x
  2. Step 2: Convert to fraction form
    9,830/14,747.43 = 2,904.50/x
  3. Step 3: Cross multiply
    9,830x = 14,747.43 × 2,904.50
  4. Step 4: Simplify right side
    9,830x = 42,833,910.44
  5. Step 5: Solve for x
    x = 42,833,910.44/9,830
  6. Step 6: Final answer
    x = 4,357.47

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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.