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Finding the Fourth Proportional to 21,697.70, 32,558.70 and 9,215.60

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Solution

The fourth proportional to 21,697.70, 32,558.70 and 9,215.60 is: 13,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.70 : 32,558.70 = 9,215.60 : x
  2. Step 2: Convert to fraction form
    21,697.70/32,558.70 = 9,215.60/x
  3. Step 3: Cross multiply
    21,697.70x = 32,558.70 × 9,215.60
  4. Step 4: Simplify right side
    21,697.70x = 300,047,955.72
  5. Step 5: Solve for x
    x = 300,047,955.72/21,697.70
  6. Step 6: Final answer
    x = 13,828.56

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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.