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Finding the Fourth Proportional to 8,356.61, 12,537 and 5,896.24

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Solution

The fourth proportional to 8,356.61, 12,537 and 5,896.24 is: 8,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.61 : 12,537 = 5,896.24 : x
  2. Step 2: Convert to fraction form
    8,356.61/12,537 = 5,896.24/x
  3. Step 3: Cross multiply
    8,356.61x = 12,537 × 5,896.24
  4. Step 4: Simplify right side
    8,356.61x = 73,921,129.54
  5. Step 5: Solve for x
    x = 73,921,129.54/8,356.61
  6. Step 6: Final answer
    x = 8,845.82

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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.