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Finding the Fourth Proportional to 9,795.88, 14,673.96 and 7,824.88

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Solution

The fourth proportional to 9,795.88, 14,673.96 and 7,824.88 is: 11,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.88 : 14,673.96 = 7,824.88 : x
  2. Step 2: Convert to fraction form
    9,795.88/14,673.96 = 7,824.88/x
  3. Step 3: Cross multiply
    9,795.88x = 14,673.96 × 7,824.88
  4. Step 4: Simplify right side
    9,795.88x = 114,821,976.12
  5. Step 5: Solve for x
    x = 114,821,976.12/9,795.88
  6. Step 6: Final answer
    x = 11,721.46

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1.5x scale

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.