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Finding the Fourth Proportional to 12,888.32, 17,786.24 and 7,299.20

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Solution

The fourth proportional to 12,888.32, 17,786.24 and 7,299.20 is: 10,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.32 : 17,786.24 = 7,299.20 : x
  2. Step 2: Convert to fraction form
    12,888.32/17,786.24 = 7,299.20/x
  3. Step 3: Cross multiply
    12,888.32x = 17,786.24 × 7,299.20
  4. Step 4: Simplify right side
    12,888.32x = 129,825,323.01
  5. Step 5: Solve for x
    x = 129,825,323.01/12,888.32
  6. Step 6: Final answer
    x = 10,073.10

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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.