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Finding the Fourth Proportional to 9,755.68, 13,462.86 and 5,506.78

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Solution

The fourth proportional to 9,755.68, 13,462.86 and 5,506.78 is: 7,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.68 : 13,462.86 = 5,506.78 : x
  2. Step 2: Convert to fraction form
    9,755.68/13,462.86 = 5,506.78/x
  3. Step 3: Cross multiply
    9,755.68x = 13,462.86 × 5,506.78
  4. Step 4: Simplify right side
    9,755.68x = 74,137,008.19
  5. Step 5: Solve for x
    x = 74,137,008.19/9,755.68
  6. Step 6: Final answer
    x = 7,599.37

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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.