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Finding the Fourth Proportional to 7,005.84, 9,660.06 and 5,234.46

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Solution

The fourth proportional to 7,005.84, 9,660.06 and 5,234.46 is: 7,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.84 : 9,660.06 = 5,234.46 : x
  2. Step 2: Convert to fraction form
    7,005.84/9,660.06 = 5,234.46/x
  3. Step 3: Cross multiply
    7,005.84x = 9,660.06 × 5,234.46
  4. Step 4: Simplify right side
    7,005.84x = 50,565,197.67
  5. Step 5: Solve for x
    x = 50,565,197.67/7,005.84
  6. Step 6: Final answer
    x = 7,217.58

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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.