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Finding the Fourth Proportional to 9,726.76, 13,418.34 and 7,073

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Solution

The fourth proportional to 9,726.76, 13,418.34 and 7,073 is: 9,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.76 : 13,418.34 = 7,073 : x
  2. Step 2: Convert to fraction form
    9,726.76/13,418.34 = 7,073/x
  3. Step 3: Cross multiply
    9,726.76x = 13,418.34 × 7,073
  4. Step 4: Simplify right side
    9,726.76x = 94,907,918.82
  5. Step 5: Solve for x
    x = 94,907,918.82/9,726.76
  6. Step 6: Final answer
    x = 9,757.40

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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.