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Finding the Fourth Proportional to 9,772.39, 14,655.48 and 3,196.81

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Solution

The fourth proportional to 9,772.39, 14,655.48 and 3,196.81 is: 4,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.39 : 14,655.48 = 3,196.81 : x
  2. Step 2: Convert to fraction form
    9,772.39/14,655.48 = 3,196.81/x
  3. Step 3: Cross multiply
    9,772.39x = 14,655.48 × 3,196.81
  4. Step 4: Simplify right side
    9,772.39x = 46,850,785.02
  5. Step 5: Solve for x
    x = 46,850,785.02/9,772.39
  6. Step 6: Final answer
    x = 4,794.20

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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.