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Finding the Fourth Proportional to 21,922.76, 32,889.10 and 6,341.64

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Solution

The fourth proportional to 21,922.76, 32,889.10 and 6,341.64 is: 9,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.76 : 32,889.10 = 6,341.64 : x
  2. Step 2: Convert to fraction form
    21,922.76/32,889.10 = 6,341.64/x
  3. Step 3: Cross multiply
    21,922.76x = 32,889.10 × 6,341.64
  4. Step 4: Simplify right side
    21,922.76x = 208,570,832.12
  5. Step 5: Solve for x
    x = 208,570,832.12/21,922.76
  6. Step 6: Final answer
    x = 9,513.89

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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.