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Finding the Fourth Proportional to 9,663.84, 13,325.76 and 6,309.54

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Solution

The fourth proportional to 9,663.84, 13,325.76 and 6,309.54 is: 8,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 13,325.76 = 6,309.54 : x
  2. Step 2: Convert to fraction form
    9,663.84/13,325.76 = 6,309.54/x
  3. Step 3: Cross multiply
    9,663.84x = 13,325.76 × 6,309.54
  4. Step 4: Simplify right side
    9,663.84x = 84,079,415.75
  5. Step 5: Solve for x
    x = 84,079,415.75/9,663.84
  6. Step 6: Final answer
    x = 8,700.41

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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.