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Finding the Fourth Proportional to 10,182.80, 14,051.04 and 5,706.20

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Solution

The fourth proportional to 10,182.80, 14,051.04 and 5,706.20 is: 7,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.80 : 14,051.04 = 5,706.20 : x
  2. Step 2: Convert to fraction form
    10,182.80/14,051.04 = 5,706.20/x
  3. Step 3: Cross multiply
    10,182.80x = 14,051.04 × 5,706.20
  4. Step 4: Simplify right side
    10,182.80x = 80,178,044.45
  5. Step 5: Solve for x
    x = 80,178,044.45/10,182.80
  6. Step 6: Final answer
    x = 7,873.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.