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Finding the Fourth Proportional to 8,013.16, 11,053.86 and 7,450.12

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Solution

The fourth proportional to 8,013.16, 11,053.86 and 7,450.12 is: 10,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.16 : 11,053.86 = 7,450.12 : x
  2. Step 2: Convert to fraction form
    8,013.16/11,053.86 = 7,450.12/x
  3. Step 3: Cross multiply
    8,013.16x = 11,053.86 × 7,450.12
  4. Step 4: Simplify right side
    8,013.16x = 82,352,583.46
  5. Step 5: Solve for x
    x = 82,352,583.46/8,013.16
  6. Step 6: Final answer
    x = 10,277.17

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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.