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Finding the Fourth Proportional to 14,776.40, 22,175.40 and 10,402.40

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Solution

The fourth proportional to 14,776.40, 22,175.40 and 10,402.40 is: 15,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.40 : 22,175.40 = 10,402.40 : x
  2. Step 2: Convert to fraction form
    14,776.40/22,175.40 = 10,402.40/x
  3. Step 3: Cross multiply
    14,776.40x = 22,175.40 × 10,402.40
  4. Step 4: Simplify right side
    14,776.40x = 230,677,380.96
  5. Step 5: Solve for x
    x = 230,677,380.96/14,776.40
  6. Step 6: Final answer
    x = 15,611.20

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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.