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Finding the Fourth Proportional to 9,164.48, 13,751.04 and 4,546.88

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Solution

The fourth proportional to 9,164.48, 13,751.04 and 4,546.88 is: 6,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.48 : 13,751.04 = 4,546.88 : x
  2. Step 2: Convert to fraction form
    9,164.48/13,751.04 = 4,546.88/x
  3. Step 3: Cross multiply
    9,164.48x = 13,751.04 × 4,546.88
  4. Step 4: Simplify right side
    9,164.48x = 62,524,328.76
  5. Step 5: Solve for x
    x = 62,524,328.76/9,164.48
  6. Step 6: Final answer
    x = 6,822.46

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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.