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Finding the Fourth Proportional to 14,783.68, 22,165.44 and 7,767.68

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Solution

The fourth proportional to 14,783.68, 22,165.44 and 7,767.68 is: 11,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.68 : 22,165.44 = 7,767.68 : x
  2. Step 2: Convert to fraction form
    14,783.68/22,165.44 = 7,767.68/x
  3. Step 3: Cross multiply
    14,783.68x = 22,165.44 × 7,767.68
  4. Step 4: Simplify right side
    14,783.68x = 172,174,044.98
  5. Step 5: Solve for x
    x = 172,174,044.98/14,783.68
  6. Step 6: Final answer
    x = 11,646.22

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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.