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Finding the Fourth Proportional to 6,153.84, 9,234.04 and 4,701.84

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Solution

The fourth proportional to 6,153.84, 9,234.04 and 4,701.84 is: 7,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.84 : 9,234.04 = 4,701.84 : x
  2. Step 2: Convert to fraction form
    6,153.84/9,234.04 = 4,701.84/x
  3. Step 3: Cross multiply
    6,153.84x = 9,234.04 × 4,701.84
  4. Step 4: Simplify right side
    6,153.84x = 43,416,978.63
  5. Step 5: Solve for x
    x = 43,416,978.63/6,153.84
  6. Step 6: Final answer
    x = 7,055.27

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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.