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Finding the Fourth Proportional to 7,882.89, 11,803.47 and 4,758.72

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Solution

The fourth proportional to 7,882.89, 11,803.47 and 4,758.72 is: 7,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.89 : 11,803.47 = 4,758.72 : x
  2. Step 2: Convert to fraction form
    7,882.89/11,803.47 = 4,758.72/x
  3. Step 3: Cross multiply
    7,882.89x = 11,803.47 × 4,758.72
  4. Step 4: Simplify right side
    7,882.89x = 56,169,408.76
  5. Step 5: Solve for x
    x = 56,169,408.76/7,882.89
  6. Step 6: Final answer
    x = 7,125.48

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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.