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Finding the Fourth Proportional to 9,715.25, 14,571.25 and 2,695.98

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Solution

The fourth proportional to 9,715.25, 14,571.25 and 2,695.98 is: 4,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.25 : 14,571.25 = 2,695.98 : x
  2. Step 2: Convert to fraction form
    9,715.25/14,571.25 = 2,695.98/x
  3. Step 3: Cross multiply
    9,715.25x = 14,571.25 × 2,695.98
  4. Step 4: Simplify right side
    9,715.25x = 39,283,798.58
  5. Step 5: Solve for x
    x = 39,283,798.58/9,715.25
  6. Step 6: Final answer
    x = 4,043.52

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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.