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Finding the Fourth Proportional to 14,971.22, 22,457.04 and 7,178.21

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Solution

The fourth proportional to 14,971.22, 22,457.04 and 7,178.21 is: 10,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.22 : 22,457.04 = 7,178.21 : x
  2. Step 2: Convert to fraction form
    14,971.22/22,457.04 = 7,178.21/x
  3. Step 3: Cross multiply
    14,971.22x = 22,457.04 × 7,178.21
  4. Step 4: Simplify right side
    14,971.22x = 161,201,349.10
  5. Step 5: Solve for x
    x = 161,201,349.10/14,971.22
  6. Step 6: Final answer
    x = 10,767.42

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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.