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Finding the Fourth Proportional to 13,785, 19,023.36 and 7,497.36

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Solution

The fourth proportional to 13,785, 19,023.36 and 7,497.36 is: 10,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785 : 19,023.36 = 7,497.36 : x
  2. Step 2: Convert to fraction form
    13,785/19,023.36 = 7,497.36/x
  3. Step 3: Cross multiply
    13,785x = 19,023.36 × 7,497.36
  4. Step 4: Simplify right side
    13,785x = 142,624,978.33
  5. Step 5: Solve for x
    x = 142,624,978.33/13,785
  6. Step 6: Final answer
    x = 10,346.39

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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.