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Finding the Fourth Proportional to 17,095.10, 25,646.78 and 6,421.55

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Solution

The fourth proportional to 17,095.10, 25,646.78 and 6,421.55 is: 9,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.10 : 25,646.78 = 6,421.55 : x
  2. Step 2: Convert to fraction form
    17,095.10/25,646.78 = 6,421.55/x
  3. Step 3: Cross multiply
    17,095.10x = 25,646.78 × 6,421.55
  4. Step 4: Simplify right side
    17,095.10x = 164,691,919.77
  5. Step 5: Solve for x
    x = 164,691,919.77/17,095.10
  6. Step 6: Final answer
    x = 9,633.87

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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.