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Finding the Fourth Proportional to 9,901.75, 14,841.10 and 4,051.27

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Solution

The fourth proportional to 9,901.75, 14,841.10 and 4,051.27 is: 6,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.75 : 14,841.10 = 4,051.27 : x
  2. Step 2: Convert to fraction form
    9,901.75/14,841.10 = 4,051.27/x
  3. Step 3: Cross multiply
    9,901.75x = 14,841.10 × 4,051.27
  4. Step 4: Simplify right side
    9,901.75x = 60,125,303.20
  5. Step 5: Solve for x
    x = 60,125,303.20/9,901.75
  6. Step 6: Final answer
    x = 6,072.19

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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.