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Finding the Fourth Proportional to 13,007.36, 17,949.92 and 7,417.92

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Solution

The fourth proportional to 13,007.36, 17,949.92 and 7,417.92 is: 10,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.36 : 17,949.92 = 7,417.92 : x
  2. Step 2: Convert to fraction form
    13,007.36/17,949.92 = 7,417.92/x
  3. Step 3: Cross multiply
    13,007.36x = 17,949.92 × 7,417.92
  4. Step 4: Simplify right side
    13,007.36x = 133,151,070.57
  5. Step 5: Solve for x
    x = 133,151,070.57/13,007.36
  6. Step 6: Final answer
    x = 10,236.59

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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.