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Finding the Fourth Proportional to 21,465, 32,197.91 and 5,883.03

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Solution

The fourth proportional to 21,465, 32,197.91 and 5,883.03 is: 8,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465 : 32,197.91 = 5,883.03 : x
  2. Step 2: Convert to fraction form
    21,465/32,197.91 = 5,883.03/x
  3. Step 3: Cross multiply
    21,465x = 32,197.91 × 5,883.03
  4. Step 4: Simplify right side
    21,465x = 189,421,241.05
  5. Step 5: Solve for x
    x = 189,421,241.05/21,465
  6. Step 6: Final answer
    x = 8,824.66

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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.