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Finding the Fourth Proportional to 6,497.82, 9,746.64 and 1,567.42

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Solution

The fourth proportional to 6,497.82, 9,746.64 and 1,567.42 is: 2,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.82 : 9,746.64 = 1,567.42 : x
  2. Step 2: Convert to fraction form
    6,497.82/9,746.64 = 1,567.42/x
  3. Step 3: Cross multiply
    6,497.82x = 9,746.64 × 1,567.42
  4. Step 4: Simplify right side
    6,497.82x = 15,277,029.74
  5. Step 5: Solve for x
    x = 15,277,029.74/6,497.82
  6. Step 6: Final answer
    x = 2,351.10

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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.