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Finding the Fourth Proportional to 7,977.03, 11,953.10 and 5,049.20

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Solution

The fourth proportional to 7,977.03, 11,953.10 and 5,049.20 is: 7,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.03 : 11,953.10 = 5,049.20 : x
  2. Step 2: Convert to fraction form
    7,977.03/11,953.10 = 5,049.20/x
  3. Step 3: Cross multiply
    7,977.03x = 11,953.10 × 5,049.20
  4. Step 4: Simplify right side
    7,977.03x = 60,353,507.51
  5. Step 5: Solve for x
    x = 60,353,507.51/7,977.03
  6. Step 6: Final answer
    x = 7,565.91

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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.