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Finding the Fourth Proportional to 9,459, 13,054.34 and 5,267.25

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Solution

The fourth proportional to 9,459, 13,054.34 and 5,267.25 is: 7,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459 : 13,054.34 = 5,267.25 : x
  2. Step 2: Convert to fraction form
    9,459/13,054.34 = 5,267.25/x
  3. Step 3: Cross multiply
    9,459x = 13,054.34 × 5,267.25
  4. Step 4: Simplify right side
    9,459x = 68,760,485.53
  5. Step 5: Solve for x
    x = 68,760,485.53/9,459
  6. Step 6: Final answer
    x = 7,269.32

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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.