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Finding the Fourth Proportional to 9,830.70, 14,746.41 and 3,257.46

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Solution

The fourth proportional to 9,830.70, 14,746.41 and 3,257.46 is: 4,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.70 : 14,746.41 = 3,257.46 : x
  2. Step 2: Convert to fraction form
    9,830.70/14,746.41 = 3,257.46/x
  3. Step 3: Cross multiply
    9,830.70x = 14,746.41 × 3,257.46
  4. Step 4: Simplify right side
    9,830.70x = 48,035,840.72
  5. Step 5: Solve for x
    x = 48,035,840.72/9,830.70
  6. Step 6: Final answer
    x = 4,886.31

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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.