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Finding the Fourth Proportional to 4,763.89, 7,146.90 and 1,477.01

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Solution

The fourth proportional to 4,763.89, 7,146.90 and 1,477.01 is: 2,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.89 : 7,146.90 = 1,477.01 : x
  2. Step 2: Convert to fraction form
    4,763.89/7,146.90 = 1,477.01/x
  3. Step 3: Cross multiply
    4,763.89x = 7,146.90 × 1,477.01
  4. Step 4: Simplify right side
    4,763.89x = 10,556,060.64
  5. Step 5: Solve for x
    x = 10,556,060.64/4,763.89
  6. Step 6: Final answer
    x = 2,215.85

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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.