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Finding the Fourth Proportional to 9,124.75, 12,592.16 and 4,933

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Solution

The fourth proportional to 9,124.75, 12,592.16 and 4,933 is: 6,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.75 : 12,592.16 = 4,933 : x
  2. Step 2: Convert to fraction form
    9,124.75/12,592.16 = 4,933/x
  3. Step 3: Cross multiply
    9,124.75x = 12,592.16 × 4,933
  4. Step 4: Simplify right side
    9,124.75x = 62,117,100.62
  5. Step 5: Solve for x
    x = 62,117,100.62/9,124.75
  6. Step 6: Final answer
    x = 6,807.54

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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.