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Finding the Fourth Proportional to 10,350.54, 14,283.90 and 5,634.90

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Solution

The fourth proportional to 10,350.54, 14,283.90 and 5,634.90 is: 7,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.54 : 14,283.90 = 5,634.90 : x
  2. Step 2: Convert to fraction form
    10,350.54/14,283.90 = 5,634.90/x
  3. Step 3: Cross multiply
    10,350.54x = 14,283.90 × 5,634.90
  4. Step 4: Simplify right side
    10,350.54x = 80,488,348.11
  5. Step 5: Solve for x
    x = 80,488,348.11/10,350.54
  6. Step 6: Final answer
    x = 7,776.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.