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Finding the Fourth Proportional to 17,006.13, 25,509.21 and 6,473.64

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Solution

The fourth proportional to 17,006.13, 25,509.21 and 6,473.64 is: 9,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.13 : 25,509.21 = 6,473.64 : x
  2. Step 2: Convert to fraction form
    17,006.13/25,509.21 = 6,473.64/x
  3. Step 3: Cross multiply
    17,006.13x = 25,509.21 × 6,473.64
  4. Step 4: Simplify right side
    17,006.13x = 165,137,442.22
  5. Step 5: Solve for x
    x = 165,137,442.22/17,006.13
  6. Step 6: Final answer
    x = 9,710.47

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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.