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Finding the Fourth Proportional to 9,853.40, 14,780.10 and 4,669.40

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Solution

The fourth proportional to 9,853.40, 14,780.10 and 4,669.40 is: 7,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.40 : 14,780.10 = 4,669.40 : x
  2. Step 2: Convert to fraction form
    9,853.40/14,780.10 = 4,669.40/x
  3. Step 3: Cross multiply
    9,853.40x = 14,780.10 × 4,669.40
  4. Step 4: Simplify right side
    9,853.40x = 69,014,198.94
  5. Step 5: Solve for x
    x = 69,014,198.94/9,853.40
  6. Step 6: Final answer
    x = 7,004.10

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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.