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Finding the Fourth Proportional to 9,701.56, 14,553.06 and 2,776

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Solution

The fourth proportional to 9,701.56, 14,553.06 and 2,776 is: 4,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.56 : 14,553.06 = 2,776 : x
  2. Step 2: Convert to fraction form
    9,701.56/14,553.06 = 2,776/x
  3. Step 3: Cross multiply
    9,701.56x = 14,553.06 × 2,776
  4. Step 4: Simplify right side
    9,701.56x = 40,399,294.56
  5. Step 5: Solve for x
    x = 40,399,294.56/9,701.56
  6. Step 6: Final answer
    x = 4,164.21

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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.