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Finding the Fourth Proportional to 6,442.04, 9,663.15 and 1,825.04

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Solution

The fourth proportional to 6,442.04, 9,663.15 and 1,825.04 is: 2,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.04 : 9,663.15 = 1,825.04 : x
  2. Step 2: Convert to fraction form
    6,442.04/9,663.15 = 1,825.04/x
  3. Step 3: Cross multiply
    6,442.04x = 9,663.15 × 1,825.04
  4. Step 4: Simplify right side
    6,442.04x = 17,635,635.28
  5. Step 5: Solve for x
    x = 17,635,635.28/6,442.04
  6. Step 6: Final answer
    x = 2,737.59

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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.