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Finding the Fourth Proportional to 8,477.14, 11,702.86 and 6,584.49

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Solution

The fourth proportional to 8,477.14, 11,702.86 and 6,584.49 is: 9,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.14 : 11,702.86 = 6,584.49 : x
  2. Step 2: Convert to fraction form
    8,477.14/11,702.86 = 6,584.49/x
  3. Step 3: Cross multiply
    8,477.14x = 11,702.86 × 6,584.49
  4. Step 4: Simplify right side
    8,477.14x = 77,057,364.64
  5. Step 5: Solve for x
    x = 77,057,364.64/8,477.14
  6. Step 6: Final answer
    x = 9,090.02

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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.