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Finding the Fourth Proportional to 13,785.54, 19,024.11 and 7,497.96

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Solution

The fourth proportional to 13,785.54, 19,024.11 and 7,497.96 is: 10,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.54 : 19,024.11 = 7,497.96 : x
  2. Step 2: Convert to fraction form
    13,785.54/19,024.11 = 7,497.96/x
  3. Step 3: Cross multiply
    13,785.54x = 19,024.11 × 7,497.96
  4. Step 4: Simplify right side
    13,785.54x = 142,642,015.82
  5. Step 5: Solve for x
    x = 142,642,015.82/13,785.54
  6. Step 6: Final answer
    x = 10,347.22

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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.