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Finding the Fourth Proportional to 13,014.96, 17,960.64 and 7,046.67

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Solution

The fourth proportional to 13,014.96, 17,960.64 and 7,046.67 is: 9,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.96 : 17,960.64 = 7,046.67 : x
  2. Step 2: Convert to fraction form
    13,014.96/17,960.64 = 7,046.67/x
  3. Step 3: Cross multiply
    13,014.96x = 17,960.64 × 7,046.67
  4. Step 4: Simplify right side
    13,014.96x = 126,562,703.07
  5. Step 5: Solve for x
    x = 126,562,703.07/13,014.96
  6. Step 6: Final answer
    x = 9,724.40

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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.