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Finding the Fourth Proportional to 8,019.20, 11,066 and 4,482.32

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Solution

The fourth proportional to 8,019.20, 11,066 and 4,482.32 is: 6,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.20 : 11,066 = 4,482.32 : x
  2. Step 2: Convert to fraction form
    8,019.20/11,066 = 4,482.32/x
  3. Step 3: Cross multiply
    8,019.20x = 11,066 × 4,482.32
  4. Step 4: Simplify right side
    8,019.20x = 49,601,353.12
  5. Step 5: Solve for x
    x = 49,601,353.12/8,019.20
  6. Step 6: Final answer
    x = 6,185.32

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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.