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Finding the Fourth Proportional to 9,930.64, 14,866.80 and 7,835.98

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Solution

The fourth proportional to 9,930.64, 14,866.80 and 7,835.98 is: 11,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.64 : 14,866.80 = 7,835.98 : x
  2. Step 2: Convert to fraction form
    9,930.64/14,866.80 = 7,835.98/x
  3. Step 3: Cross multiply
    9,930.64x = 14,866.80 × 7,835.98
  4. Step 4: Simplify right side
    9,930.64x = 116,495,947.46
  5. Step 5: Solve for x
    x = 116,495,947.46/9,930.64
  6. Step 6: Final answer
    x = 11,730.96

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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.