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Finding the Fourth Proportional to 6,546.34, 9,746.46 and 6,167.26

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Solution

The fourth proportional to 6,546.34, 9,746.46 and 6,167.26 is: 9,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.34 : 9,746.46 = 6,167.26 : x
  2. Step 2: Convert to fraction form
    6,546.34/9,746.46 = 6,167.26/x
  3. Step 3: Cross multiply
    6,546.34x = 9,746.46 × 6,167.26
  4. Step 4: Simplify right side
    6,546.34x = 60,108,952.90
  5. Step 5: Solve for x
    x = 60,108,952.90/6,546.34
  6. Step 6: Final answer
    x = 9,182.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.