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Finding the Fourth Proportional to 9,539.06, 13,170 and 7,774.88

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Solution

The fourth proportional to 9,539.06, 13,170 and 7,774.88 is: 10,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.06 : 13,170 = 7,774.88 : x
  2. Step 2: Convert to fraction form
    9,539.06/13,170 = 7,774.88/x
  3. Step 3: Cross multiply
    9,539.06x = 13,170 × 7,774.88
  4. Step 4: Simplify right side
    9,539.06x = 102,395,169.60
  5. Step 5: Solve for x
    x = 102,395,169.60/9,539.06
  6. Step 6: Final answer
    x = 10,734.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.