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Finding the Fourth Proportional to 4,885.64, 7,329.34 and 1,964.16

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Solution

The fourth proportional to 4,885.64, 7,329.34 and 1,964.16 is: 2,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.64 : 7,329.34 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    4,885.64/7,329.34 = 1,964.16/x
  3. Step 3: Cross multiply
    4,885.64x = 7,329.34 × 1,964.16
  4. Step 4: Simplify right side
    4,885.64x = 14,395,996.45
  5. Step 5: Solve for x
    x = 14,395,996.45/4,885.64
  6. Step 6: Final answer
    x = 2,946.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.