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Finding the Fourth Proportional to 4,754, 6,560.52 and 3,185.84

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Solution

The fourth proportional to 4,754, 6,560.52 and 3,185.84 is: 4,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754 : 6,560.52 = 3,185.84 : x
  2. Step 2: Convert to fraction form
    4,754/6,560.52 = 3,185.84/x
  3. Step 3: Cross multiply
    4,754x = 6,560.52 × 3,185.84
  4. Step 4: Simplify right side
    4,754x = 20,900,767.04
  5. Step 5: Solve for x
    x = 20,900,767.04/4,754
  6. Step 6: Final answer
    x = 4,396.46

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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.