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Finding the Fourth Proportional to 9,099.63, 12,525.92 and 7,844.84

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Solution

The fourth proportional to 9,099.63, 12,525.92 and 7,844.84 is: 10,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.63 : 12,525.92 = 7,844.84 : x
  2. Step 2: Convert to fraction form
    9,099.63/12,525.92 = 7,844.84/x
  3. Step 3: Cross multiply
    9,099.63x = 12,525.92 × 7,844.84
  4. Step 4: Simplify right side
    9,099.63x = 98,263,838.25
  5. Step 5: Solve for x
    x = 98,263,838.25/9,099.63
  6. Step 6: Final answer
    x = 10,798.66

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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.