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Finding the Fourth Proportional to 9,101.54, 13,643.06 and 6,905.67

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Solution

The fourth proportional to 9,101.54, 13,643.06 and 6,905.67 is: 10,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.54 : 13,643.06 = 6,905.67 : x
  2. Step 2: Convert to fraction form
    9,101.54/13,643.06 = 6,905.67/x
  3. Step 3: Cross multiply
    9,101.54x = 13,643.06 × 6,905.67
  4. Step 4: Simplify right side
    9,101.54x = 94,214,435.62
  5. Step 5: Solve for x
    x = 94,214,435.62/9,101.54
  6. Step 6: Final answer
    x = 10,351.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.