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Finding the Fourth Proportional to 9,164.16, 12,646.08 and 5,185.44

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Solution

The fourth proportional to 9,164.16, 12,646.08 and 5,185.44 is: 7,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.16 : 12,646.08 = 5,185.44 : x
  2. Step 2: Convert to fraction form
    9,164.16/12,646.08 = 5,185.44/x
  3. Step 3: Cross multiply
    9,164.16x = 12,646.08 × 5,185.44
  4. Step 4: Simplify right side
    9,164.16x = 65,575,489.08
  5. Step 5: Solve for x
    x = 65,575,489.08/9,164.16
  6. Step 6: Final answer
    x = 7,155.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.