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Finding the Fourth Proportional to 4,673.48, 7,013.16 and 1,900.22

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Solution

The fourth proportional to 4,673.48, 7,013.16 and 1,900.22 is: 2,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.48 : 7,013.16 = 1,900.22 : x
  2. Step 2: Convert to fraction form
    4,673.48/7,013.16 = 1,900.22/x
  3. Step 3: Cross multiply
    4,673.48x = 7,013.16 × 1,900.22
  4. Step 4: Simplify right side
    4,673.48x = 13,326,546.90
  5. Step 5: Solve for x
    x = 13,326,546.90/4,673.48
  6. Step 6: Final answer
    x = 2,851.53

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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.