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Finding the Fourth Proportional to 7,730.64, 10,664.34 and 4,893.24

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Solution

The fourth proportional to 7,730.64, 10,664.34 and 4,893.24 is: 6,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.64 : 10,664.34 = 4,893.24 : x
  2. Step 2: Convert to fraction form
    7,730.64/10,664.34 = 4,893.24/x
  3. Step 3: Cross multiply
    7,730.64x = 10,664.34 × 4,893.24
  4. Step 4: Simplify right side
    7,730.64x = 52,183,175.06
  5. Step 5: Solve for x
    x = 52,183,175.06/7,730.64
  6. Step 6: Final answer
    x = 6,750.18

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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.