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Finding the Fourth Proportional to 15,974.54, 23,953.86 and 9,313.30

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Solution

The fourth proportional to 15,974.54, 23,953.86 and 9,313.30 is: 13,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.54 : 23,953.86 = 9,313.30 : x
  2. Step 2: Convert to fraction form
    15,974.54/23,953.86 = 9,313.30/x
  3. Step 3: Cross multiply
    15,974.54x = 23,953.86 × 9,313.30
  4. Step 4: Simplify right side
    15,974.54x = 223,089,484.34
  5. Step 5: Solve for x
    x = 223,089,484.34/15,974.54
  6. Step 6: Final answer
    x = 13,965.32

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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.