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Finding the Fourth Proportional to 6,601.16, 9,878.14 and 5,733.88

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Solution

The fourth proportional to 6,601.16, 9,878.14 and 5,733.88 is: 8,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.16 : 9,878.14 = 5,733.88 : x
  2. Step 2: Convert to fraction form
    6,601.16/9,878.14 = 5,733.88/x
  3. Step 3: Cross multiply
    6,601.16x = 9,878.14 × 5,733.88
  4. Step 4: Simplify right side
    6,601.16x = 56,640,005.66
  5. Step 5: Solve for x
    x = 56,640,005.66/6,601.16
  6. Step 6: Final answer
    x = 8,580.32

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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.