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Finding the Fourth Proportional to 15,644.66, 23,467.90 and 7,646.84

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Solution

The fourth proportional to 15,644.66, 23,467.90 and 7,646.84 is: 11,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.66 : 23,467.90 = 7,646.84 : x
  2. Step 2: Convert to fraction form
    15,644.66/23,467.90 = 7,646.84/x
  3. Step 3: Cross multiply
    15,644.66x = 23,467.90 × 7,646.84
  4. Step 4: Simplify right side
    15,644.66x = 179,455,276.44
  5. Step 5: Solve for x
    x = 179,455,276.44/15,644.66
  6. Step 6: Final answer
    x = 11,470.70

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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.