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Finding the Fourth Proportional to 10,502.92, 14,493.48 and 5,786.32

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Solution

The fourth proportional to 10,502.92, 14,493.48 and 5,786.32 is: 7,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.92 : 14,493.48 = 5,786.32 : x
  2. Step 2: Convert to fraction form
    10,502.92/14,493.48 = 5,786.32/x
  3. Step 3: Cross multiply
    10,502.92x = 14,493.48 × 5,786.32
  4. Step 4: Simplify right side
    10,502.92x = 83,863,913.19
  5. Step 5: Solve for x
    x = 83,863,913.19/10,502.92
  6. Step 6: Final answer
    x = 7,984.82

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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.