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Finding the Fourth Proportional to 9,304, 13,950.24 and 4,374.64

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Solution

The fourth proportional to 9,304, 13,950.24 and 4,374.64 is: 6,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304 : 13,950.24 = 4,374.64 : x
  2. Step 2: Convert to fraction form
    9,304/13,950.24 = 4,374.64/x
  3. Step 3: Cross multiply
    9,304x = 13,950.24 × 4,374.64
  4. Step 4: Simplify right side
    9,304x = 61,027,277.91
  5. Step 5: Solve for x
    x = 61,027,277.91/9,304
  6. Step 6: Final answer
    x = 6,559.25

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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.