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Finding the Fourth Proportional to 13,922.03, 19,212.55 and 7,548.64

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Solution

The fourth proportional to 13,922.03, 19,212.55 and 7,548.64 is: 10,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.03 : 19,212.55 = 7,548.64 : x
  2. Step 2: Convert to fraction form
    13,922.03/19,212.55 = 7,548.64/x
  3. Step 3: Cross multiply
    13,922.03x = 19,212.55 × 7,548.64
  4. Step 4: Simplify right side
    13,922.03x = 145,028,527.37
  5. Step 5: Solve for x
    x = 145,028,527.37/13,922.03
  6. Step 6: Final answer
    x = 10,417.20

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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.