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Finding the Fourth Proportional to 9,232.25, 12,741.30 and 7,550.08

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Solution

The fourth proportional to 9,232.25, 12,741.30 and 7,550.08 is: 10,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.25 : 12,741.30 = 7,550.08 : x
  2. Step 2: Convert to fraction form
    9,232.25/12,741.30 = 7,550.08/x
  3. Step 3: Cross multiply
    9,232.25x = 12,741.30 × 7,550.08
  4. Step 4: Simplify right side
    9,232.25x = 96,197,802.45
  5. Step 5: Solve for x
    x = 96,197,802.45/9,232.25
  6. Step 6: Final answer
    x = 10,419.76

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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.