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Finding the Fourth Proportional to 21,563.28, 32,346.12 and 7,712.28

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Solution

The fourth proportional to 21,563.28, 32,346.12 and 7,712.28 is: 11,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.28 : 32,346.12 = 7,712.28 : x
  2. Step 2: Convert to fraction form
    21,563.28/32,346.12 = 7,712.28/x
  3. Step 3: Cross multiply
    21,563.28x = 32,346.12 × 7,712.28
  4. Step 4: Simplify right side
    21,563.28x = 249,462,334.35
  5. Step 5: Solve for x
    x = 249,462,334.35/21,563.28
  6. Step 6: Final answer
    x = 11,568.85

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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.