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Finding the Fourth Proportional to 9,895.84, 14,843.76 and 4,420

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Solution

The fourth proportional to 9,895.84, 14,843.76 and 4,420 is: 6,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.84 : 14,843.76 = 4,420 : x
  2. Step 2: Convert to fraction form
    9,895.84/14,843.76 = 4,420/x
  3. Step 3: Cross multiply
    9,895.84x = 14,843.76 × 4,420
  4. Step 4: Simplify right side
    9,895.84x = 65,609,419.20
  5. Step 5: Solve for x
    x = 65,609,419.20/9,895.84
  6. Step 6: Final answer
    x = 6,630

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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.