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Finding the Fourth Proportional to 9,967.50, 13,760.14 and 7,724.34

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Solution

The fourth proportional to 9,967.50, 13,760.14 and 7,724.34 is: 10,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.50 : 13,760.14 = 7,724.34 : x
  2. Step 2: Convert to fraction form
    9,967.50/13,760.14 = 7,724.34/x
  3. Step 3: Cross multiply
    9,967.50x = 13,760.14 × 7,724.34
  4. Step 4: Simplify right side
    9,967.50x = 106,287,999.81
  5. Step 5: Solve for x
    x = 106,287,999.81/9,967.50
  6. Step 6: Final answer
    x = 10,663.46

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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.