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Finding the Fourth Proportional to 9,875.76, 13,628.76 and 5,896.13

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Solution

The fourth proportional to 9,875.76, 13,628.76 and 5,896.13 is: 8,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.76 : 13,628.76 = 5,896.13 : x
  2. Step 2: Convert to fraction form
    9,875.76/13,628.76 = 5,896.13/x
  3. Step 3: Cross multiply
    9,875.76x = 13,628.76 × 5,896.13
  4. Step 4: Simplify right side
    9,875.76x = 80,356,906.63
  5. Step 5: Solve for x
    x = 80,356,906.63/9,875.76
  6. Step 6: Final answer
    x = 8,136.78

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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.