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Finding the Fourth Proportional to 4,965.84, 6,853.68 and 3,784.68

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Solution

The fourth proportional to 4,965.84, 6,853.68 and 3,784.68 is: 5,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.84 : 6,853.68 = 3,784.68 : x
  2. Step 2: Convert to fraction form
    4,965.84/6,853.68 = 3,784.68/x
  3. Step 3: Cross multiply
    4,965.84x = 6,853.68 × 3,784.68
  4. Step 4: Simplify right side
    4,965.84x = 25,938,985.62
  5. Step 5: Solve for x
    x = 25,938,985.62/4,965.84
  6. Step 6: Final answer
    x = 5,223.48

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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.