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Finding the Fourth Proportional to 9,895.68, 14,843.16 and 2,970

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Solution

The fourth proportional to 9,895.68, 14,843.16 and 2,970 is: 4,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.68 : 14,843.16 = 2,970 : x
  2. Step 2: Convert to fraction form
    9,895.68/14,843.16 = 2,970/x
  3. Step 3: Cross multiply
    9,895.68x = 14,843.16 × 2,970
  4. Step 4: Simplify right side
    9,895.68x = 44,084,185.20
  5. Step 5: Solve for x
    x = 44,084,185.20/9,895.68
  6. Step 6: Final answer
    x = 4,454.89

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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.