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Finding the Fourth Proportional to 8,462.32, 11,677.96 and 4,736.32

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Solution

The fourth proportional to 8,462.32, 11,677.96 and 4,736.32 is: 6,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.32 : 11,677.96 = 4,736.32 : x
  2. Step 2: Convert to fraction form
    8,462.32/11,677.96 = 4,736.32/x
  3. Step 3: Cross multiply
    8,462.32x = 11,677.96 × 4,736.32
  4. Step 4: Simplify right side
    8,462.32x = 55,310,555.51
  5. Step 5: Solve for x
    x = 55,310,555.51/8,462.32
  6. Step 6: Final answer
    x = 6,536.10

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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.