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Finding the Fourth Proportional to 10,246.84, 15,382.86 and 9,730.36

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Solution

The fourth proportional to 10,246.84, 15,382.86 and 9,730.36 is: 14,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.84 : 15,382.86 = 9,730.36 : x
  2. Step 2: Convert to fraction form
    10,246.84/15,382.86 = 9,730.36/x
  3. Step 3: Cross multiply
    10,246.84x = 15,382.86 × 9,730.36
  4. Step 4: Simplify right side
    10,246.84x = 149,680,765.63
  5. Step 5: Solve for x
    x = 149,680,765.63/10,246.84
  6. Step 6: Final answer
    x = 14,607.50

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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.