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Finding the Fourth Proportional to 12,678.75, 17,496.16 and 7,013.14

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Solution

The fourth proportional to 12,678.75, 17,496.16 and 7,013.14 is: 9,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.75 : 17,496.16 = 7,013.14 : x
  2. Step 2: Convert to fraction form
    12,678.75/17,496.16 = 7,013.14/x
  3. Step 3: Cross multiply
    12,678.75x = 17,496.16 × 7,013.14
  4. Step 4: Simplify right side
    12,678.75x = 122,703,019.54
  5. Step 5: Solve for x
    x = 122,703,019.54/12,678.75
  6. Step 6: Final answer
    x = 9,677.85

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Double 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.