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Finding the Fourth Proportional to 6,283.14, 8,665.88 and 4,603.92

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Solution

The fourth proportional to 6,283.14, 8,665.88 and 4,603.92 is: 6,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.14 : 8,665.88 = 4,603.92 : x
  2. Step 2: Convert to fraction form
    6,283.14/8,665.88 = 4,603.92/x
  3. Step 3: Cross multiply
    6,283.14x = 8,665.88 × 4,603.92
  4. Step 4: Simplify right side
    6,283.14x = 39,896,995.23
  5. Step 5: Solve for x
    x = 39,896,995.23/6,283.14
  6. Step 6: Final answer
    x = 6,349.85

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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.