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Finding the Fourth Proportional to 9,969.20, 14,953.80 and 8,219.60

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Solution

The fourth proportional to 9,969.20, 14,953.80 and 8,219.60 is: 12,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.20 : 14,953.80 = 8,219.60 : x
  2. Step 2: Convert to fraction form
    9,969.20/14,953.80 = 8,219.60/x
  3. Step 3: Cross multiply
    9,969.20x = 14,953.80 × 8,219.60
  4. Step 4: Simplify right side
    9,969.20x = 122,914,254.48
  5. Step 5: Solve for x
    x = 122,914,254.48/9,969.20
  6. Step 6: Final answer
    x = 12,329.40

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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.