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Finding the Fourth Proportional to 4,672.76, 7,009.14 and 1,209.98

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Solution

The fourth proportional to 4,672.76, 7,009.14 and 1,209.98 is: 1,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.76 : 7,009.14 = 1,209.98 : x
  2. Step 2: Convert to fraction form
    4,672.76/7,009.14 = 1,209.98/x
  3. Step 3: Cross multiply
    4,672.76x = 7,009.14 × 1,209.98
  4. Step 4: Simplify right side
    4,672.76x = 8,480,919.22
  5. Step 5: Solve for x
    x = 8,480,919.22/4,672.76
  6. Step 6: Final answer
    x = 1,814.97

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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.