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Finding the Fourth Proportional to 7,076.96, 9,766.16 and 4,282.40

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Solution

The fourth proportional to 7,076.96, 9,766.16 and 4,282.40 is: 5,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.96 : 9,766.16 = 4,282.40 : x
  2. Step 2: Convert to fraction form
    7,076.96/9,766.16 = 4,282.40/x
  3. Step 3: Cross multiply
    7,076.96x = 9,766.16 × 4,282.40
  4. Step 4: Simplify right side
    7,076.96x = 41,822,603.58
  5. Step 5: Solve for x
    x = 41,822,603.58/7,076.96
  6. Step 6: Final answer
    x = 5,909.68

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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.