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Finding the Fourth Proportional to 8,442.65, 11,650.79 and 4,665.74

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Solution

The fourth proportional to 8,442.65, 11,650.79 and 4,665.74 is: 6,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.65 : 11,650.79 = 4,665.74 : x
  2. Step 2: Convert to fraction form
    8,442.65/11,650.79 = 4,665.74/x
  3. Step 3: Cross multiply
    8,442.65x = 11,650.79 × 4,665.74
  4. Step 4: Simplify right side
    8,442.65x = 54,359,510.34
  5. Step 5: Solve for x
    x = 54,359,510.34/8,442.65
  6. Step 6: Final answer
    x = 6,438.68

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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.