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Finding the Fourth Proportional to 4,673.64, 7,013.20 and 4,312.82

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Solution

The fourth proportional to 4,673.64, 7,013.20 and 4,312.82 is: 6,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.64 : 7,013.20 = 4,312.82 : x
  2. Step 2: Convert to fraction form
    4,673.64/7,013.20 = 4,312.82/x
  3. Step 3: Cross multiply
    4,673.64x = 7,013.20 × 4,312.82
  4. Step 4: Simplify right side
    4,673.64x = 30,246,669.22
  5. Step 5: Solve for x
    x = 30,246,669.22/4,673.64
  6. Step 6: Final answer
    x = 6,471.76

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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.