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Finding the Fourth Proportional to 9,584, 14,376 and 2,658.56

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Solution

The fourth proportional to 9,584, 14,376 and 2,658.56 is: 3,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584 : 14,376 = 2,658.56 : x
  2. Step 2: Convert to fraction form
    9,584/14,376 = 2,658.56/x
  3. Step 3: Cross multiply
    9,584x = 14,376 × 2,658.56
  4. Step 4: Simplify right side
    9,584x = 38,219,458.56
  5. Step 5: Solve for x
    x = 38,219,458.56/9,584
  6. Step 6: Final answer
    x = 3,987.84

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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.