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Finding the Fourth Proportional to 6,121, 9,153.46 and 4,562.07

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Solution

The fourth proportional to 6,121, 9,153.46 and 4,562.07 is: 6,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121 : 9,153.46 = 4,562.07 : x
  2. Step 2: Convert to fraction form
    6,121/9,153.46 = 4,562.07/x
  3. Step 3: Cross multiply
    6,121x = 9,153.46 × 4,562.07
  4. Step 4: Simplify right side
    6,121x = 41,758,725.26
  5. Step 5: Solve for x
    x = 41,758,725.26/6,121
  6. Step 6: Final answer
    x = 6,822.21

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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.