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Finding the Fourth Proportional to 9,527.64, 13,153.98 and 7,546.20

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Solution

The fourth proportional to 9,527.64, 13,153.98 and 7,546.20 is: 10,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.64 : 13,153.98 = 7,546.20 : x
  2. Step 2: Convert to fraction form
    9,527.64/13,153.98 = 7,546.20/x
  3. Step 3: Cross multiply
    9,527.64x = 13,153.98 × 7,546.20
  4. Step 4: Simplify right side
    9,527.64x = 99,262,563.88
  5. Step 5: Solve for x
    x = 99,262,563.88/9,527.64
  6. Step 6: Final answer
    x = 10,418.38

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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.