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Finding the Fourth Proportional to 7,147.84, 10,724.08 and 4,512.32

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Solution

The fourth proportional to 7,147.84, 10,724.08 and 4,512.32 is: 6,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.84 : 10,724.08 = 4,512.32 : x
  2. Step 2: Convert to fraction form
    7,147.84/10,724.08 = 4,512.32/x
  3. Step 3: Cross multiply
    7,147.84x = 10,724.08 × 4,512.32
  4. Step 4: Simplify right side
    7,147.84x = 48,390,480.67
  5. Step 5: Solve for x
    x = 48,390,480.67/7,147.84
  6. Step 6: Final answer
    x = 6,769.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.