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Finding the Fourth Proportional to 9,712.64, 14,573.52 and 4,786.44

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Solution

The fourth proportional to 9,712.64, 14,573.52 and 4,786.44 is: 7,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.64 : 14,573.52 = 4,786.44 : x
  2. Step 2: Convert to fraction form
    9,712.64/14,573.52 = 4,786.44/x
  3. Step 3: Cross multiply
    9,712.64x = 14,573.52 × 4,786.44
  4. Step 4: Simplify right side
    9,712.64x = 69,755,279.07
  5. Step 5: Solve for x
    x = 69,755,279.07/9,712.64
  6. Step 6: Final answer
    x = 7,181.91

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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.