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Finding the Fourth Proportional to 12,921.80, 19,334.70 and 9,465.80

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Solution

The fourth proportional to 12,921.80, 19,334.70 and 9,465.80 is: 14,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.80 : 19,334.70 = 9,465.80 : x
  2. Step 2: Convert to fraction form
    12,921.80/19,334.70 = 9,465.80/x
  3. Step 3: Cross multiply
    12,921.80x = 19,334.70 × 9,465.80
  4. Step 4: Simplify right side
    12,921.80x = 183,018,403.26
  5. Step 5: Solve for x
    x = 183,018,403.26/12,921.80
  6. Step 6: Final answer
    x = 14,163.54

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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.