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Finding the Fourth Proportional to 7,703.64, 10,627.89 and 5,691.84

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Solution

The fourth proportional to 7,703.64, 10,627.89 and 5,691.84 is: 7,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.64 : 10,627.89 = 5,691.84 : x
  2. Step 2: Convert to fraction form
    7,703.64/10,627.89 = 5,691.84/x
  3. Step 3: Cross multiply
    7,703.64x = 10,627.89 × 5,691.84
  4. Step 4: Simplify right side
    7,703.64x = 60,492,249.42
  5. Step 5: Solve for x
    x = 60,492,249.42/7,703.64
  6. Step 6: Final answer
    x = 7,852.42

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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.