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Finding the Fourth Proportional to 4,859.54, 6,705 and 3,530.94

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Solution

The fourth proportional to 4,859.54, 6,705 and 3,530.94 is: 4,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.54 : 6,705 = 3,530.94 : x
  2. Step 2: Convert to fraction form
    4,859.54/6,705 = 3,530.94/x
  3. Step 3: Cross multiply
    4,859.54x = 6,705 × 3,530.94
  4. Step 4: Simplify right side
    4,859.54x = 23,674,952.70
  5. Step 5: Solve for x
    x = 23,674,952.70/4,859.54
  6. Step 6: Final answer
    x = 4,871.85

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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.