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Finding the Fourth Proportional to 9,393.84, 12,963.06 and 5,201.76

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Solution

The fourth proportional to 9,393.84, 12,963.06 and 5,201.76 is: 7,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.84 : 12,963.06 = 5,201.76 : x
  2. Step 2: Convert to fraction form
    9,393.84/12,963.06 = 5,201.76/x
  3. Step 3: Cross multiply
    9,393.84x = 12,963.06 × 5,201.76
  4. Step 4: Simplify right side
    9,393.84x = 67,430,726.99
  5. Step 5: Solve for x
    x = 67,430,726.99/9,393.84
  6. Step 6: Final answer
    x = 7,178.19

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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.