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Finding the Fourth Proportional to 9,077, 12,525.18 and 5,300.96

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Solution

The fourth proportional to 9,077, 12,525.18 and 5,300.96 is: 7,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077 : 12,525.18 = 5,300.96 : x
  2. Step 2: Convert to fraction form
    9,077/12,525.18 = 5,300.96/x
  3. Step 3: Cross multiply
    9,077x = 12,525.18 × 5,300.96
  4. Step 4: Simplify right side
    9,077x = 66,395,478.17
  5. Step 5: Solve for x
    x = 66,395,478.17/9,077
  6. Step 6: Final answer
    x = 7,314.69

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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.