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Finding the Fourth Proportional to 7,839.44, 10,820.04 and 4,482.08

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Solution

The fourth proportional to 7,839.44, 10,820.04 and 4,482.08 is: 6,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.44 : 10,820.04 = 4,482.08 : x
  2. Step 2: Convert to fraction form
    7,839.44/10,820.04 = 4,482.08/x
  3. Step 3: Cross multiply
    7,839.44x = 10,820.04 × 4,482.08
  4. Step 4: Simplify right side
    7,839.44x = 48,496,284.88
  5. Step 5: Solve for x
    x = 48,496,284.88/7,839.44
  6. Step 6: Final answer
    x = 6,186.19

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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.