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Finding the Fourth Proportional to 6,101.70, 9,153.63 and 2,405.40

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Solution

The fourth proportional to 6,101.70, 9,153.63 and 2,405.40 is: 3,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.70 : 9,153.63 = 2,405.40 : x
  2. Step 2: Convert to fraction form
    6,101.70/9,153.63 = 2,405.40/x
  3. Step 3: Cross multiply
    6,101.70x = 9,153.63 × 2,405.40
  4. Step 4: Simplify right side
    6,101.70x = 22,018,141.60
  5. Step 5: Solve for x
    x = 22,018,141.60/6,101.70
  6. Step 6: Final answer
    x = 3,608.53

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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.