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Finding the Fourth Proportional to 9,681.04, 14,522.10 and 2,755

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Solution

The fourth proportional to 9,681.04, 14,522.10 and 2,755 is: 4,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.04 : 14,522.10 = 2,755 : x
  2. Step 2: Convert to fraction form
    9,681.04/14,522.10 = 2,755/x
  3. Step 3: Cross multiply
    9,681.04x = 14,522.10 × 2,755
  4. Step 4: Simplify right side
    9,681.04x = 40,008,385.50
  5. Step 5: Solve for x
    x = 40,008,385.50/9,681.04
  6. Step 6: Final answer
    x = 4,132.65

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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.