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Finding the Fourth Proportional to 12,574.98, 17,354.98 and 7,541.97

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Solution

The fourth proportional to 12,574.98, 17,354.98 and 7,541.97 is: 10,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.98 : 17,354.98 = 7,541.97 : x
  2. Step 2: Convert to fraction form
    12,574.98/17,354.98 = 7,541.97/x
  3. Step 3: Cross multiply
    12,574.98x = 17,354.98 × 7,541.97
  4. Step 4: Simplify right side
    12,574.98x = 130,890,719.66
  5. Step 5: Solve for x
    x = 130,890,719.66/12,574.98
  6. Step 6: Final answer
    x = 10,408.82

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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.