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Finding the Fourth Proportional to 4,952.76, 6,834 and 3,065.59

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Solution

The fourth proportional to 4,952.76, 6,834 and 3,065.59 is: 4,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.76 : 6,834 = 3,065.59 : x
  2. Step 2: Convert to fraction form
    4,952.76/6,834 = 3,065.59/x
  3. Step 3: Cross multiply
    4,952.76x = 6,834 × 3,065.59
  4. Step 4: Simplify right side
    4,952.76x = 20,950,242.06
  5. Step 5: Solve for x
    x = 20,950,242.06/4,952.76
  6. Step 6: Final answer
    x = 4,230.01

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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.