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Finding the Fourth Proportional to 20,899.40, 31,349.10 and 7,750.40

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Solution

The fourth proportional to 20,899.40, 31,349.10 and 7,750.40 is: 11,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.40 : 31,349.10 = 7,750.40 : x
  2. Step 2: Convert to fraction form
    20,899.40/31,349.10 = 7,750.40/x
  3. Step 3: Cross multiply
    20,899.40x = 31,349.10 × 7,750.40
  4. Step 4: Simplify right side
    20,899.40x = 242,968,064.64
  5. Step 5: Solve for x
    x = 242,968,064.64/20,899.40
  6. Step 6: Final answer
    x = 11,625.60

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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.