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Finding the Fourth Proportional to 8,164.73, 12,252.54 and 2,970.60

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Solution

The fourth proportional to 8,164.73, 12,252.54 and 2,970.60 is: 4,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.73 : 12,252.54 = 2,970.60 : x
  2. Step 2: Convert to fraction form
    8,164.73/12,252.54 = 2,970.60/x
  3. Step 3: Cross multiply
    8,164.73x = 12,252.54 × 2,970.60
  4. Step 4: Simplify right side
    8,164.73x = 36,397,406.46
  5. Step 5: Solve for x
    x = 36,397,406.46/8,164.73
  6. Step 6: Final answer
    x = 4,457.89

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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.