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Finding the Fourth Proportional to 9,772.56, 14,643.46 and 7,556.80

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Solution

The fourth proportional to 9,772.56, 14,643.46 and 7,556.80 is: 11,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.56 : 14,643.46 = 7,556.80 : x
  2. Step 2: Convert to fraction form
    9,772.56/14,643.46 = 7,556.80/x
  3. Step 3: Cross multiply
    9,772.56x = 14,643.46 × 7,556.80
  4. Step 4: Simplify right side
    9,772.56x = 110,657,698.53
  5. Step 5: Solve for x
    x = 110,657,698.53/9,772.56
  6. Step 6: Final answer
    x = 11,323.31

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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.