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Finding the Fourth Proportional to 9,856.98, 14,785.70 and 3,283.70

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Solution

The fourth proportional to 9,856.98, 14,785.70 and 3,283.70 is: 4,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.98 : 14,785.70 = 3,283.70 : x
  2. Step 2: Convert to fraction form
    9,856.98/14,785.70 = 3,283.70/x
  3. Step 3: Cross multiply
    9,856.98x = 14,785.70 × 3,283.70
  4. Step 4: Simplify right side
    9,856.98x = 48,551,712.74
  5. Step 5: Solve for x
    x = 48,551,712.74/9,856.98
  6. Step 6: Final answer
    x = 4,925.62

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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.