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Finding the Fourth Proportional to 9,164.44, 12,646.84 and 4,972.68

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Solution

The fourth proportional to 9,164.44, 12,646.84 and 4,972.68 is: 6,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.44 : 12,646.84 = 4,972.68 : x
  2. Step 2: Convert to fraction form
    9,164.44/12,646.84 = 4,972.68/x
  3. Step 3: Cross multiply
    9,164.44x = 12,646.84 × 4,972.68
  4. Step 4: Simplify right side
    9,164.44x = 62,888,688.33
  5. Step 5: Solve for x
    x = 62,888,688.33/9,164.44
  6. Step 6: Final answer
    x = 6,862.25

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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.