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Finding the Fourth Proportional to 21,548.40, 32,323.68 and 7,697.40

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Solution

The fourth proportional to 21,548.40, 32,323.68 and 7,697.40 is: 11,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.40 : 32,323.68 = 7,697.40 : x
  2. Step 2: Convert to fraction form
    21,548.40/32,323.68 = 7,697.40/x
  3. Step 3: Cross multiply
    21,548.40x = 32,323.68 × 7,697.40
  4. Step 4: Simplify right side
    21,548.40x = 248,808,294.43
  5. Step 5: Solve for x
    x = 248,808,294.43/21,548.40
  6. Step 6: Final answer
    x = 11,546.49

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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.