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Finding the Fourth Proportional to 13,658.16, 18,825.60 and 9,674.16

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Solution

The fourth proportional to 13,658.16, 18,825.60 and 9,674.16 is: 13,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.16 : 18,825.60 = 9,674.16 : x
  2. Step 2: Convert to fraction form
    13,658.16/18,825.60 = 9,674.16/x
  3. Step 3: Cross multiply
    13,658.16x = 18,825.60 × 9,674.16
  4. Step 4: Simplify right side
    13,658.16x = 182,121,866.50
  5. Step 5: Solve for x
    x = 182,121,866.50/13,658.16
  6. Step 6: Final answer
    x = 13,334.29

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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.