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Finding the Fourth Proportional to 7,146.84, 10,712.01 and 3,853.02

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Solution

The fourth proportional to 7,146.84, 10,712.01 and 3,853.02 is: 5,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.84 : 10,712.01 = 3,853.02 : x
  2. Step 2: Convert to fraction form
    7,146.84/10,712.01 = 3,853.02/x
  3. Step 3: Cross multiply
    7,146.84x = 10,712.01 × 3,853.02
  4. Step 4: Simplify right side
    7,146.84x = 41,273,588.77
  5. Step 5: Solve for x
    x = 41,273,588.77/7,146.84
  6. Step 6: Final answer
    x = 5,775.08

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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.