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Finding the Fourth Proportional to 8,647.78, 11,923.02 and 5,658.88

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Solution

The fourth proportional to 8,647.78, 11,923.02 and 5,658.88 is: 7,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.78 : 11,923.02 = 5,658.88 : x
  2. Step 2: Convert to fraction form
    8,647.78/11,923.02 = 5,658.88/x
  3. Step 3: Cross multiply
    8,647.78x = 11,923.02 × 5,658.88
  4. Step 4: Simplify right side
    8,647.78x = 67,470,939.42
  5. Step 5: Solve for x
    x = 67,470,939.42/8,647.78
  6. Step 6: Final answer
    x = 7,802.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.