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Finding the Fourth Proportional to 4,673.57, 7,009.16 and 1,385.92

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Solution

The fourth proportional to 4,673.57, 7,009.16 and 1,385.92 is: 2,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.57 : 7,009.16 = 1,385.92 : x
  2. Step 2: Convert to fraction form
    4,673.57/7,009.16 = 1,385.92/x
  3. Step 3: Cross multiply
    4,673.57x = 7,009.16 × 1,385.92
  4. Step 4: Simplify right side
    4,673.57x = 9,714,093.05
  5. Step 5: Solve for x
    x = 9,714,093.05/4,673.57
  6. Step 6: Final answer
    x = 2,078.52

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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.