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Finding the Fourth Proportional to 8,313.66, 11,472.33 and 4,774.38

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Solution

The fourth proportional to 8,313.66, 11,472.33 and 4,774.38 is: 6,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.66 : 11,472.33 = 4,774.38 : x
  2. Step 2: Convert to fraction form
    8,313.66/11,472.33 = 4,774.38/x
  3. Step 3: Cross multiply
    8,313.66x = 11,472.33 × 4,774.38
  4. Step 4: Simplify right side
    8,313.66x = 54,773,262.91
  5. Step 5: Solve for x
    x = 54,773,262.91/8,313.66
  6. Step 6: Final answer
    x = 6,588.35

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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.