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Finding the Fourth Proportional to 13,907.54, 20,824.86 and 9,533.54

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Solution

The fourth proportional to 13,907.54, 20,824.86 and 9,533.54 is: 14,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.54 : 20,824.86 = 9,533.54 : x
  2. Step 2: Convert to fraction form
    13,907.54/20,824.86 = 9,533.54/x
  3. Step 3: Cross multiply
    13,907.54x = 20,824.86 × 9,533.54
  4. Step 4: Simplify right side
    13,907.54x = 198,534,635.80
  5. Step 5: Solve for x
    x = 198,534,635.80/13,907.54
  6. Step 6: Final answer
    x = 14,275.32

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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.