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Finding the Fourth Proportional to 6,294.54, 9,423.59 and 4,741.09

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Solution

The fourth proportional to 6,294.54, 9,423.59 and 4,741.09 is: 7,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.54 : 9,423.59 = 4,741.09 : x
  2. Step 2: Convert to fraction form
    6,294.54/9,423.59 = 4,741.09/x
  3. Step 3: Cross multiply
    6,294.54x = 9,423.59 × 4,741.09
  4. Step 4: Simplify right side
    6,294.54x = 44,678,052.90
  5. Step 5: Solve for x
    x = 44,678,052.90/6,294.54
  6. Step 6: Final answer
    x = 7,097.90

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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.