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Finding the Fourth Proportional to 12,594.78, 18,977.49 and 10,451.52

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Solution

The fourth proportional to 12,594.78, 18,977.49 and 10,451.52 is: 15,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.78 : 18,977.49 = 10,451.52 : x
  2. Step 2: Convert to fraction form
    12,594.78/18,977.49 = 10,451.52/x
  3. Step 3: Cross multiply
    12,594.78x = 18,977.49 × 10,451.52
  4. Step 4: Simplify right side
    12,594.78x = 198,343,616.28
  5. Step 5: Solve for x
    x = 198,343,616.28/12,594.78
  6. Step 6: Final answer
    x = 15,748.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.