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Finding the Fourth Proportional to 9,755.52, 14,633.60 and 4,560

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Solution

The fourth proportional to 9,755.52, 14,633.60 and 4,560 is: 6,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.52 : 14,633.60 = 4,560 : x
  2. Step 2: Convert to fraction form
    9,755.52/14,633.60 = 4,560/x
  3. Step 3: Cross multiply
    9,755.52x = 14,633.60 × 4,560
  4. Step 4: Simplify right side
    9,755.52x = 66,729,216
  5. Step 5: Solve for x
    x = 66,729,216/9,755.52
  6. Step 6: Final answer
    x = 6,840.15

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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.