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Finding the Fourth Proportional to 7,007.42, 9,675.18 and 4,496

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Solution

The fourth proportional to 7,007.42, 9,675.18 and 4,496 is: 6,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.42 : 9,675.18 = 4,496 : x
  2. Step 2: Convert to fraction form
    7,007.42/9,675.18 = 4,496/x
  3. Step 3: Cross multiply
    7,007.42x = 9,675.18 × 4,496
  4. Step 4: Simplify right side
    7,007.42x = 43,499,609.28
  5. Step 5: Solve for x
    x = 43,499,609.28/7,007.42
  6. Step 6: Final answer
    x = 6,207.65

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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.