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Finding the Fourth Proportional to 9,600.84, 13,255.38 and 5,877

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Solution

The fourth proportional to 9,600.84, 13,255.38 and 5,877 is: 8,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.84 : 13,255.38 = 5,877 : x
  2. Step 2: Convert to fraction form
    9,600.84/13,255.38 = 5,877/x
  3. Step 3: Cross multiply
    9,600.84x = 13,255.38 × 5,877
  4. Step 4: Simplify right side
    9,600.84x = 77,901,868.26
  5. Step 5: Solve for x
    x = 77,901,868.26/9,600.84
  6. Step 6: Final answer
    x = 8,114.07

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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.