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Finding the Fourth Proportional to 4,673.76, 7,009.92 and 2,076.24

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Solution

The fourth proportional to 4,673.76, 7,009.92 and 2,076.24 is: 3,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.76 : 7,009.92 = 2,076.24 : x
  2. Step 2: Convert to fraction form
    4,673.76/7,009.92 = 2,076.24/x
  3. Step 3: Cross multiply
    4,673.76x = 7,009.92 × 2,076.24
  4. Step 4: Simplify right side
    4,673.76x = 14,554,276.30
  5. Step 5: Solve for x
    x = 14,554,276.30/4,673.76
  6. Step 6: Final answer
    x = 3,114.04

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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.