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Finding the Fourth Proportional to 7,482.64, 11,203.84 and 4,186.32

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Solution

The fourth proportional to 7,482.64, 11,203.84 and 4,186.32 is: 6,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.64 : 11,203.84 = 4,186.32 : x
  2. Step 2: Convert to fraction form
    7,482.64/11,203.84 = 4,186.32/x
  3. Step 3: Cross multiply
    7,482.64x = 11,203.84 × 4,186.32
  4. Step 4: Simplify right side
    7,482.64x = 46,902,859.47
  5. Step 5: Solve for x
    x = 46,902,859.47/7,482.64
  6. Step 6: Final answer
    x = 6,268.22

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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.