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Finding the Fourth Proportional to 10,978.40, 16,467.60 and 9,768.80

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Solution

The fourth proportional to 10,978.40, 16,467.60 and 9,768.80 is: 14,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.40 : 16,467.60 = 9,768.80 : x
  2. Step 2: Convert to fraction form
    10,978.40/16,467.60 = 9,768.80/x
  3. Step 3: Cross multiply
    10,978.40x = 16,467.60 × 9,768.80
  4. Step 4: Simplify right side
    10,978.40x = 160,868,690.88
  5. Step 5: Solve for x
    x = 160,868,690.88/10,978.40
  6. Step 6: Final answer
    x = 14,653.20

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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.