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Finding the Fourth Proportional to 12,294.04, 16,960.94 and 7,570.12

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Solution

The fourth proportional to 12,294.04, 16,960.94 and 7,570.12 is: 10,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.04 : 16,960.94 = 7,570.12 : x
  2. Step 2: Convert to fraction form
    12,294.04/16,960.94 = 7,570.12/x
  3. Step 3: Cross multiply
    12,294.04x = 16,960.94 × 7,570.12
  4. Step 4: Simplify right side
    12,294.04x = 128,396,351.11
  5. Step 5: Solve for x
    x = 128,396,351.11/12,294.04
  6. Step 6: Final answer
    x = 10,443.79

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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.