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Finding the Fourth Proportional to 4,870.16, 6,766.16 and 4,811.84

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Solution

The fourth proportional to 4,870.16, 6,766.16 and 4,811.84 is: 6,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.16 : 6,766.16 = 4,811.84 : x
  2. Step 2: Convert to fraction form
    4,870.16/6,766.16 = 4,811.84/x
  3. Step 3: Cross multiply
    4,870.16x = 6,766.16 × 4,811.84
  4. Step 4: Simplify right side
    4,870.16x = 32,557,679.33
  5. Step 5: Solve for x
    x = 32,557,679.33/4,870.16
  6. Step 6: Final answer
    x = 6,685.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.