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Finding the Fourth Proportional to 12,476.16, 18,713.57 and 7,544.48

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Solution

The fourth proportional to 12,476.16, 18,713.57 and 7,544.48 is: 11,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.16 : 18,713.57 = 7,544.48 : x
  2. Step 2: Convert to fraction form
    12,476.16/18,713.57 = 7,544.48/x
  3. Step 3: Cross multiply
    12,476.16x = 18,713.57 × 7,544.48
  4. Step 4: Simplify right side
    12,476.16x = 141,184,023.30
  5. Step 5: Solve for x
    x = 141,184,023.30/12,476.16
  6. Step 6: Final answer
    x = 11,316.30

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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.