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Finding the Fourth Proportional to 12,852.66, 17,736.12 and 7,548.06

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Solution

The fourth proportional to 12,852.66, 17,736.12 and 7,548.06 is: 10,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.66 : 17,736.12 = 7,548.06 : x
  2. Step 2: Convert to fraction form
    12,852.66/17,736.12 = 7,548.06/x
  3. Step 3: Cross multiply
    12,852.66x = 17,736.12 × 7,548.06
  4. Step 4: Simplify right side
    12,852.66x = 133,873,297.93
  5. Step 5: Solve for x
    x = 133,873,297.93/12,852.66
  6. Step 6: Final answer
    x = 10,416.00

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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.