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Finding the Fourth Proportional to 9,115.94, 12,580 and 4,924.19

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Solution

The fourth proportional to 9,115.94, 12,580 and 4,924.19 is: 6,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.94 : 12,580 = 4,924.19 : x
  2. Step 2: Convert to fraction form
    9,115.94/12,580 = 4,924.19/x
  3. Step 3: Cross multiply
    9,115.94x = 12,580 × 4,924.19
  4. Step 4: Simplify right side
    9,115.94x = 61,946,310.20
  5. Step 5: Solve for x
    x = 61,946,310.20/9,115.94
  6. Step 6: Final answer
    x = 6,795.38

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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.