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Finding the Fourth Proportional to 7,119.76, 9,824.16 and 4,286.92

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Solution

The fourth proportional to 7,119.76, 9,824.16 and 4,286.92 is: 5,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.76 : 9,824.16 = 4,286.92 : x
  2. Step 2: Convert to fraction form
    7,119.76/9,824.16 = 4,286.92/x
  3. Step 3: Cross multiply
    7,119.76x = 9,824.16 × 4,286.92
  4. Step 4: Simplify right side
    7,119.76x = 42,115,387.99
  5. Step 5: Solve for x
    x = 42,115,387.99/7,119.76
  6. Step 6: Final answer
    x = 5,915.28

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Double scale
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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.