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Finding the Fourth Proportional to 65,934, 98,913.40 and 26,494.24

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Solution

The fourth proportional to 65,934, 98,913.40 and 26,494.24 is: 39,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,934 : 98,913.40 = 26,494.24 : x
  2. Step 2: Convert to fraction form
    65,934/98,913.40 = 26,494.24/x
  3. Step 3: Cross multiply
    65,934x = 98,913.40 × 26,494.24
  4. Step 4: Simplify right side
    65,934x = 2,620,635,358.82
  5. Step 5: Solve for x
    x = 2,620,635,358.82/65,934
  6. Step 6: Final answer
    x = 39,746.34

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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.