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Finding the Fourth Proportional to 6,468.09, 9,699.71 and 5,097.57

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Solution

The fourth proportional to 6,468.09, 9,699.71 and 5,097.57 is: 7,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.09 : 9,699.71 = 5,097.57 : x
  2. Step 2: Convert to fraction form
    6,468.09/9,699.71 = 5,097.57/x
  3. Step 3: Cross multiply
    6,468.09x = 9,699.71 × 5,097.57
  4. Step 4: Simplify right side
    6,468.09x = 49,444,925.22
  5. Step 5: Solve for x
    x = 49,444,925.22/6,468.09
  6. Step 6: Final answer
    x = 7,644.44

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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.