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Finding the Fourth Proportional to 4,952.42, 6,834.75 and 4,065.74

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Solution

The fourth proportional to 4,952.42, 6,834.75 and 4,065.74 is: 5,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.42 : 6,834.75 = 4,065.74 : x
  2. Step 2: Convert to fraction form
    4,952.42/6,834.75 = 4,065.74/x
  3. Step 3: Cross multiply
    4,952.42x = 6,834.75 × 4,065.74
  4. Step 4: Simplify right side
    4,952.42x = 27,788,316.47
  5. Step 5: Solve for x
    x = 27,788,316.47/4,952.42
  6. Step 6: Final answer
    x = 5,611.06

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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.