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Finding the Fourth Proportional to 21,866.64, 32,797.53 and 7,826.10

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Solution

The fourth proportional to 21,866.64, 32,797.53 and 7,826.10 is: 11,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.64 : 32,797.53 = 7,826.10 : x
  2. Step 2: Convert to fraction form
    21,866.64/32,797.53 = 7,826.10/x
  3. Step 3: Cross multiply
    21,866.64x = 32,797.53 × 7,826.10
  4. Step 4: Simplify right side
    21,866.64x = 256,676,749.53
  5. Step 5: Solve for x
    x = 256,676,749.53/21,866.64
  6. Step 6: Final answer
    x = 11,738.28

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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.