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Finding the Fourth Proportional to 12,173.76, 16,799.87 and 7,458.05

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Solution

The fourth proportional to 12,173.76, 16,799.87 and 7,458.05 is: 10,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.76 : 16,799.87 = 7,458.05 : x
  2. Step 2: Convert to fraction form
    12,173.76/16,799.87 = 7,458.05/x
  3. Step 3: Cross multiply
    12,173.76x = 16,799.87 × 7,458.05
  4. Step 4: Simplify right side
    12,173.76x = 125,294,331.10
  5. Step 5: Solve for x
    x = 125,294,331.10/12,173.76
  6. Step 6: Final answer
    x = 10,292.16

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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.