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Finding the Fourth Proportional to 6,474.96, 9,701.28 and 5,097.12

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Solution

The fourth proportional to 6,474.96, 9,701.28 and 5,097.12 is: 7,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.96 : 9,701.28 = 5,097.12 : x
  2. Step 2: Convert to fraction form
    6,474.96/9,701.28 = 5,097.12/x
  3. Step 3: Cross multiply
    6,474.96x = 9,701.28 × 5,097.12
  4. Step 4: Simplify right side
    6,474.96x = 49,448,588.31
  5. Step 5: Solve for x
    x = 49,448,588.31/6,474.96
  6. Step 6: Final answer
    x = 7,636.89

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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.