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Finding the Fourth Proportional to 6,102.99, 9,153.86 and 4,141.22

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Solution

The fourth proportional to 6,102.99, 9,153.86 and 4,141.22 is: 6,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.99 : 9,153.86 = 4,141.22 : x
  2. Step 2: Convert to fraction form
    6,102.99/9,153.86 = 4,141.22/x
  3. Step 3: Cross multiply
    6,102.99x = 9,153.86 × 4,141.22
  4. Step 4: Simplify right side
    6,102.99x = 37,908,081.63
  5. Step 5: Solve for x
    x = 37,908,081.63/6,102.99
  6. Step 6: Final answer
    x = 6,211.40

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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.