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Finding the Fourth Proportional to 7,146.84, 10,717.52 and 2,468.48

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Solution

The fourth proportional to 7,146.84, 10,717.52 and 2,468.48 is: 3,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.84 : 10,717.52 = 2,468.48 : x
  2. Step 2: Convert to fraction form
    7,146.84/10,717.52 = 2,468.48/x
  3. Step 3: Cross multiply
    7,146.84x = 10,717.52 × 2,468.48
  4. Step 4: Simplify right side
    7,146.84x = 26,455,983.77
  5. Step 5: Solve for x
    x = 26,455,983.77/7,146.84
  6. Step 6: Final answer
    x = 3,701.77

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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.