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Finding the Fourth Proportional to 9,970.92, 14,958.18 and 4,128

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Solution

The fourth proportional to 9,970.92, 14,958.18 and 4,128 is: 6,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.92 : 14,958.18 = 4,128 : x
  2. Step 2: Convert to fraction form
    9,970.92/14,958.18 = 4,128/x
  3. Step 3: Cross multiply
    9,970.92x = 14,958.18 × 4,128
  4. Step 4: Simplify right side
    9,970.92x = 61,747,367.04
  5. Step 5: Solve for x
    x = 61,747,367.04/9,970.92
  6. Step 6: Final answer
    x = 6,192.75

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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.