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Finding the Fourth Proportional to 7,154.84, 10,732.26 and 1,960.76

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Solution

The fourth proportional to 7,154.84, 10,732.26 and 1,960.76 is: 2,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.84 : 10,732.26 = 1,960.76 : x
  2. Step 2: Convert to fraction form
    7,154.84/10,732.26 = 1,960.76/x
  3. Step 3: Cross multiply
    7,154.84x = 10,732.26 × 1,960.76
  4. Step 4: Simplify right side
    7,154.84x = 21,043,386.12
  5. Step 5: Solve for x
    x = 21,043,386.12/7,154.84
  6. Step 6: Final answer
    x = 2,941.14

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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.