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Finding the Fourth Proportional to 7,641.42, 10,544.22 and 4,497

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Solution

The fourth proportional to 7,641.42, 10,544.22 and 4,497 is: 6,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.42 : 10,544.22 = 4,497 : x
  2. Step 2: Convert to fraction form
    7,641.42/10,544.22 = 4,497/x
  3. Step 3: Cross multiply
    7,641.42x = 10,544.22 × 4,497
  4. Step 4: Simplify right side
    7,641.42x = 47,417,357.34
  5. Step 5: Solve for x
    x = 47,417,357.34/7,641.42
  6. Step 6: Final answer
    x = 6,205.31

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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.