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Finding the Fourth Proportional to 14,761.92, 22,142.88 and 6,971.52

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Solution

The fourth proportional to 14,761.92, 22,142.88 and 6,971.52 is: 10,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.92 : 22,142.88 = 6,971.52 : x
  2. Step 2: Convert to fraction form
    14,761.92/22,142.88 = 6,971.52/x
  3. Step 3: Cross multiply
    14,761.92x = 22,142.88 × 6,971.52
  4. Step 4: Simplify right side
    14,761.92x = 154,369,530.78
  5. Step 5: Solve for x
    x = 154,369,530.78/14,761.92
  6. Step 6: Final answer
    x = 10,457.28

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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.