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Finding the Fourth Proportional to 4,766.84, 6,572.52 and 4,102.55

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Solution

The fourth proportional to 4,766.84, 6,572.52 and 4,102.55 is: 5,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.84 : 6,572.52 = 4,102.55 : x
  2. Step 2: Convert to fraction form
    4,766.84/6,572.52 = 4,102.55/x
  3. Step 3: Cross multiply
    4,766.84x = 6,572.52 × 4,102.55
  4. Step 4: Simplify right side
    4,766.84x = 26,964,091.93
  5. Step 5: Solve for x
    x = 26,964,091.93/4,766.84
  6. Step 6: Final answer
    x = 5,656.60

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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.