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Finding the Fourth Proportional to 10,162.64, 14,023.05 and 5,913.38

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Solution

The fourth proportional to 10,162.64, 14,023.05 and 5,913.38 is: 8,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.64 : 14,023.05 = 5,913.38 : x
  2. Step 2: Convert to fraction form
    10,162.64/14,023.05 = 5,913.38/x
  3. Step 3: Cross multiply
    10,162.64x = 14,023.05 × 5,913.38
  4. Step 4: Simplify right side
    10,162.64x = 82,923,623.41
  5. Step 5: Solve for x
    x = 82,923,623.41/10,162.64
  6. Step 6: Final answer
    x = 8,159.65

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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.