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Finding the Fourth Proportional to 35,495.41, 53,243.06 and 9,200.18

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Solution

The fourth proportional to 35,495.41, 53,243.06 and 9,200.18 is: 13,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,495.41 : 53,243.06 = 9,200.18 : x
  2. Step 2: Convert to fraction form
    35,495.41/53,243.06 = 9,200.18/x
  3. Step 3: Cross multiply
    35,495.41x = 53,243.06 × 9,200.18
  4. Step 4: Simplify right side
    35,495.41x = 489,845,469.54
  5. Step 5: Solve for x
    x = 489,845,469.54/35,495.41
  6. Step 6: Final answer
    x = 13,800.25

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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.