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Finding the Fourth Proportional to 12,678.57, 17,496 and 7,013.22

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Solution

The fourth proportional to 12,678.57, 17,496 and 7,013.22 is: 9,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.57 : 17,496 = 7,013.22 : x
  2. Step 2: Convert to fraction form
    12,678.57/17,496 = 7,013.22/x
  3. Step 3: Cross multiply
    12,678.57x = 17,496 × 7,013.22
  4. Step 4: Simplify right side
    12,678.57x = 122,703,297.12
  5. Step 5: Solve for x
    x = 122,703,297.12/12,678.57
  6. Step 6: Final answer
    x = 9,678.01

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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.