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Finding the Fourth Proportional to 9,920.44, 14,866.89 and 4,365.46

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Solution

The fourth proportional to 9,920.44, 14,866.89 and 4,365.46 is: 6,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.44 : 14,866.89 = 4,365.46 : x
  2. Step 2: Convert to fraction form
    9,920.44/14,866.89 = 4,365.46/x
  3. Step 3: Cross multiply
    9,920.44x = 14,866.89 × 4,365.46
  4. Step 4: Simplify right side
    9,920.44x = 64,900,813.62
  5. Step 5: Solve for x
    x = 64,900,813.62/9,920.44
  6. Step 6: Final answer
    x = 6,542.13

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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.