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Finding the Fourth Proportional to 35,511.75, 53,268.03 and 9,214.90

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Solution

The fourth proportional to 35,511.75, 53,268.03 and 9,214.90 is: 13,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511.75 : 53,268.03 = 9,214.90 : x
  2. Step 2: Convert to fraction form
    35,511.75/53,268.03 = 9,214.90/x
  3. Step 3: Cross multiply
    35,511.75x = 53,268.03 × 9,214.90
  4. Step 4: Simplify right side
    35,511.75x = 490,859,436.48
  5. Step 5: Solve for x
    x = 490,859,436.48/35,511.75
  6. Step 6: Final answer
    x = 13,822.45

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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.