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Finding the Fourth Proportional to 12,578.15, 17,356.65 and 7,541.43

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Solution

The fourth proportional to 12,578.15, 17,356.65 and 7,541.43 is: 10,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.15 : 17,356.65 = 7,541.43 : x
  2. Step 2: Convert to fraction form
    12,578.15/17,356.65 = 7,541.43/x
  3. Step 3: Cross multiply
    12,578.15x = 17,356.65 × 7,541.43
  4. Step 4: Simplify right side
    12,578.15x = 130,893,961.01
  5. Step 5: Solve for x
    x = 130,893,961.01/12,578.15
  6. Step 6: Final answer
    x = 10,406.46

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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.