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Finding the Fourth Proportional to 11,567.47, 15,963 and 6,262.15

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Solution

The fourth proportional to 11,567.47, 15,963 and 6,262.15 is: 8,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.47 : 15,963 = 6,262.15 : x
  2. Step 2: Convert to fraction form
    11,567.47/15,963 = 6,262.15/x
  3. Step 3: Cross multiply
    11,567.47x = 15,963 × 6,262.15
  4. Step 4: Simplify right side
    11,567.47x = 99,962,700.45
  5. Step 5: Solve for x
    x = 99,962,700.45/11,567.47
  6. Step 6: Final answer
    x = 8,641.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.