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Finding the Fourth Proportional to 8,338.46, 11,477.84 and 7,551.14

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Solution

The fourth proportional to 8,338.46, 11,477.84 and 7,551.14 is: 10,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.46 : 11,477.84 = 7,551.14 : x
  2. Step 2: Convert to fraction form
    8,338.46/11,477.84 = 7,551.14/x
  3. Step 3: Cross multiply
    8,338.46x = 11,477.84 × 7,551.14
  4. Step 4: Simplify right side
    8,338.46x = 86,670,776.74
  5. Step 5: Solve for x
    x = 86,670,776.74/8,338.46
  6. Step 6: Final answer
    x = 10,394.10

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Half scale
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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.