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Finding the Fourth Proportional to 9,957.56, 14,907.28 and 7,759.56

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Solution

The fourth proportional to 9,957.56, 14,907.28 and 7,759.56 is: 11,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.56 : 14,907.28 = 7,759.56 : x
  2. Step 2: Convert to fraction form
    9,957.56/14,907.28 = 7,759.56/x
  3. Step 3: Cross multiply
    9,957.56x = 14,907.28 × 7,759.56
  4. Step 4: Simplify right side
    9,957.56x = 115,673,933.60
  5. Step 5: Solve for x
    x = 115,673,933.60/9,957.56
  6. Step 6: Final answer
    x = 11,616.69

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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.