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Finding the Fourth Proportional to 8,437.77, 11,644.17 and 4,660.89

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Solution

The fourth proportional to 8,437.77, 11,644.17 and 4,660.89 is: 6,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.77 : 11,644.17 = 4,660.89 : x
  2. Step 2: Convert to fraction form
    8,437.77/11,644.17 = 4,660.89/x
  3. Step 3: Cross multiply
    8,437.77x = 11,644.17 × 4,660.89
  4. Step 4: Simplify right side
    8,437.77x = 54,272,195.51
  5. Step 5: Solve for x
    x = 54,272,195.51/8,437.77
  6. Step 6: Final answer
    x = 6,432.05

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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.