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Finding the Fourth Proportional to 12,135.78, 16,746.62 and 7,356.78

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Solution

The fourth proportional to 12,135.78, 16,746.62 and 7,356.78 is: 10,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.78 : 16,746.62 = 7,356.78 : x
  2. Step 2: Convert to fraction form
    12,135.78/16,746.62 = 7,356.78/x
  3. Step 3: Cross multiply
    12,135.78x = 16,746.62 × 7,356.78
  4. Step 4: Simplify right side
    12,135.78x = 123,201,162.30
  5. Step 5: Solve for x
    x = 123,201,162.30/12,135.78
  6. Step 6: Final answer
    x = 10,151.89

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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.