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Finding the Fourth Proportional to 9,895.77, 14,843.66 and 4,050

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Solution

The fourth proportional to 9,895.77, 14,843.66 and 4,050 is: 6,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.77 : 14,843.66 = 4,050 : x
  2. Step 2: Convert to fraction form
    9,895.77/14,843.66 = 4,050/x
  3. Step 3: Cross multiply
    9,895.77x = 14,843.66 × 4,050
  4. Step 4: Simplify right side
    9,895.77x = 60,116,802.75
  5. Step 5: Solve for x
    x = 60,116,802.75/9,895.77
  6. Step 6: Final answer
    x = 6,075

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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.