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Finding the Fourth Proportional to 14,782.14, 22,154.65 and 7,388.66

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Solution

The fourth proportional to 14,782.14, 22,154.65 and 7,388.66 is: 11,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.14 : 22,154.65 = 7,388.66 : x
  2. Step 2: Convert to fraction form
    14,782.14/22,154.65 = 7,388.66/x
  3. Step 3: Cross multiply
    14,782.14x = 22,154.65 × 7,388.66
  4. Step 4: Simplify right side
    14,782.14x = 163,693,213.18
  5. Step 5: Solve for x
    x = 163,693,213.18/14,782.14
  6. Step 6: Final answer
    x = 11,073.72

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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.