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Finding the Fourth Proportional to 13,769.76, 19,002.64 and 7,482.56

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Solution

The fourth proportional to 13,769.76, 19,002.64 and 7,482.56 is: 10,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.76 : 19,002.64 = 7,482.56 : x
  2. Step 2: Convert to fraction form
    13,769.76/19,002.64 = 7,482.56/x
  3. Step 3: Cross multiply
    13,769.76x = 19,002.64 × 7,482.56
  4. Step 4: Simplify right side
    13,769.76x = 142,188,393.96
  5. Step 5: Solve for x
    x = 142,188,393.96/13,769.76
  6. Step 6: Final answer
    x = 10,326.13

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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.