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Finding the Fourth Proportional to 14,801.64, 22,202.46 and 7,415.16

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Solution

The fourth proportional to 14,801.64, 22,202.46 and 7,415.16 is: 11,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.64 : 22,202.46 = 7,415.16 : x
  2. Step 2: Convert to fraction form
    14,801.64/22,202.46 = 7,415.16/x
  3. Step 3: Cross multiply
    14,801.64x = 22,202.46 × 7,415.16
  4. Step 4: Simplify right side
    14,801.64x = 164,634,793.29
  5. Step 5: Solve for x
    x = 164,634,793.29/14,801.64
  6. Step 6: Final answer
    x = 11,122.74

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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.