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Finding the Fourth Proportional to 10,970.38, 15,138.75 and 6,256.18

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Solution

The fourth proportional to 10,970.38, 15,138.75 and 6,256.18 is: 8,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.38 : 15,138.75 = 6,256.18 : x
  2. Step 2: Convert to fraction form
    10,970.38/15,138.75 = 6,256.18/x
  3. Step 3: Cross multiply
    10,970.38x = 15,138.75 × 6,256.18
  4. Step 4: Simplify right side
    10,970.38x = 94,710,744.98
  5. Step 5: Solve for x
    x = 94,710,744.98/10,970.38
  6. Step 6: Final answer
    x = 8,633.31

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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.