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Finding the Fourth Proportional to 13,106.99, 19,644.88 and 7,548.82

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Solution

The fourth proportional to 13,106.99, 19,644.88 and 7,548.82 is: 11,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.99 : 19,644.88 = 7,548.82 : x
  2. Step 2: Convert to fraction form
    13,106.99/19,644.88 = 7,548.82/x
  3. Step 3: Cross multiply
    13,106.99x = 19,644.88 × 7,548.82
  4. Step 4: Simplify right side
    13,106.99x = 148,295,664.46
  5. Step 5: Solve for x
    x = 148,295,664.46/13,106.99
  6. Step 6: Final answer
    x = 11,314.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.