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Finding the Fourth Proportional to 4,788.54, 6,611.40 and 4,282.80

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Solution

The fourth proportional to 4,788.54, 6,611.40 and 4,282.80 is: 5,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.54 : 6,611.40 = 4,282.80 : x
  2. Step 2: Convert to fraction form
    4,788.54/6,611.40 = 4,282.80/x
  3. Step 3: Cross multiply
    4,788.54x = 6,611.40 × 4,282.80
  4. Step 4: Simplify right side
    4,788.54x = 28,315,303.92
  5. Step 5: Solve for x
    x = 28,315,303.92/4,788.54
  6. Step 6: Final answer
    x = 5,913.14

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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.