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Finding the Fourth Proportional to 3,262.03, 4,893.86 and 953.53

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Solution

The fourth proportional to 3,262.03, 4,893.86 and 953.53 is: 1,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.03 : 4,893.86 = 953.53 : x
  2. Step 2: Convert to fraction form
    3,262.03/4,893.86 = 953.53/x
  3. Step 3: Cross multiply
    3,262.03x = 4,893.86 × 953.53
  4. Step 4: Simplify right side
    3,262.03x = 4,666,447.25
  5. Step 5: Solve for x
    x = 4,666,447.25/3,262.03
  6. Step 6: Final answer
    x = 1,430.53

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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.