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Finding the Fourth Proportional to 7,156.84, 10,735.26 and 1,962.76

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Solution

The fourth proportional to 7,156.84, 10,735.26 and 1,962.76 is: 2,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.84 : 10,735.26 = 1,962.76 : x
  2. Step 2: Convert to fraction form
    7,156.84/10,735.26 = 1,962.76/x
  3. Step 3: Cross multiply
    7,156.84x = 10,735.26 × 1,962.76
  4. Step 4: Simplify right side
    7,156.84x = 21,070,738.92
  5. Step 5: Solve for x
    x = 21,070,738.92/7,156.84
  6. Step 6: Final answer
    x = 2,944.14

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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.