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Finding the Fourth Proportional to 9,393.26, 12,962.82 and 5,201.50

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Solution

The fourth proportional to 9,393.26, 12,962.82 and 5,201.50 is: 7,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.26 : 12,962.82 = 5,201.50 : x
  2. Step 2: Convert to fraction form
    9,393.26/12,962.82 = 5,201.50/x
  3. Step 3: Cross multiply
    9,393.26x = 12,962.82 × 5,201.50
  4. Step 4: Simplify right side
    9,393.26x = 67,426,108.23
  5. Step 5: Solve for x
    x = 67,426,108.23/9,393.26
  6. Step 6: Final answer
    x = 7,178.14

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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.