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Finding the Fourth Proportional to 9,230.84, 12,749.18 and 6,724.16

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Solution

The fourth proportional to 9,230.84, 12,749.18 and 6,724.16 is: 9,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.84 : 12,749.18 = 6,724.16 : x
  2. Step 2: Convert to fraction form
    9,230.84/12,749.18 = 6,724.16/x
  3. Step 3: Cross multiply
    9,230.84x = 12,749.18 × 6,724.16
  4. Step 4: Simplify right side
    9,230.84x = 85,727,526.19
  5. Step 5: Solve for x
    x = 85,727,526.19/9,230.84
  6. Step 6: Final answer
    x = 9,287.08

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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.