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Finding the Fourth Proportional to 13,262.92, 18,302.82 and 7,294.68

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Solution

The fourth proportional to 13,262.92, 18,302.82 and 7,294.68 is: 10,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.92 : 18,302.82 = 7,294.68 : x
  2. Step 2: Convert to fraction form
    13,262.92/18,302.82 = 7,294.68/x
  3. Step 3: Cross multiply
    13,262.92x = 18,302.82 × 7,294.68
  4. Step 4: Simplify right side
    13,262.92x = 133,513,215.00
  5. Step 5: Solve for x
    x = 133,513,215.00/13,262.92
  6. Step 6: Final answer
    x = 10,066.65

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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.