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Finding the Fourth Proportional to 8,313.71, 11,472.84 and 4,776.93

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Solution

The fourth proportional to 8,313.71, 11,472.84 and 4,776.93 is: 6,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.71 : 11,472.84 = 4,776.93 : x
  2. Step 2: Convert to fraction form
    8,313.71/11,472.84 = 4,776.93/x
  3. Step 3: Cross multiply
    8,313.71x = 11,472.84 × 4,776.93
  4. Step 4: Simplify right side
    8,313.71x = 54,804,953.58
  5. Step 5: Solve for x
    x = 54,804,953.58/8,313.71
  6. Step 6: Final answer
    x = 6,592.12

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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.