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Finding the Fourth Proportional to 6,497.84, 9,728.40 and 5,053.88

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Solution

The fourth proportional to 6,497.84, 9,728.40 and 5,053.88 is: 7,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.84 : 9,728.40 = 5,053.88 : x
  2. Step 2: Convert to fraction form
    6,497.84/9,728.40 = 5,053.88/x
  3. Step 3: Cross multiply
    6,497.84x = 9,728.40 × 5,053.88
  4. Step 4: Simplify right side
    6,497.84x = 49,166,166.19
  5. Step 5: Solve for x
    x = 49,166,166.19/6,497.84
  6. Step 6: Final answer
    x = 7,566.54

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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.