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Finding the Fourth Proportional to 9,755.76, 13,463.10 and 5,563.74

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Solution

The fourth proportional to 9,755.76, 13,463.10 and 5,563.74 is: 7,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.76 : 13,463.10 = 5,563.74 : x
  2. Step 2: Convert to fraction form
    9,755.76/13,463.10 = 5,563.74/x
  3. Step 3: Cross multiply
    9,755.76x = 13,463.10 × 5,563.74
  4. Step 4: Simplify right side
    9,755.76x = 74,905,187.99
  5. Step 5: Solve for x
    x = 74,905,187.99/9,755.76
  6. Step 6: Final answer
    x = 7,678.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.