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Finding the Fourth Proportional to 8,290.32, 11,441.16 and 4,564.32

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Solution

The fourth proportional to 8,290.32, 11,441.16 and 4,564.32 is: 6,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.32 : 11,441.16 = 4,564.32 : x
  2. Step 2: Convert to fraction form
    8,290.32/11,441.16 = 4,564.32/x
  3. Step 3: Cross multiply
    8,290.32x = 11,441.16 × 4,564.32
  4. Step 4: Simplify right side
    8,290.32x = 52,221,115.41
  5. Step 5: Solve for x
    x = 52,221,115.41/8,290.32
  6. Step 6: Final answer
    x = 6,299.05

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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.