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Finding the Fourth Proportional to 6,160.76, 8,492.94 and 4,902.33

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Solution

The fourth proportional to 6,160.76, 8,492.94 and 4,902.33 is: 6,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.76 : 8,492.94 = 4,902.33 : x
  2. Step 2: Convert to fraction form
    6,160.76/8,492.94 = 4,902.33/x
  3. Step 3: Cross multiply
    6,160.76x = 8,492.94 × 4,902.33
  4. Step 4: Simplify right side
    6,160.76x = 41,635,194.55
  5. Step 5: Solve for x
    x = 41,635,194.55/6,160.76
  6. Step 6: Final answer
    x = 6,758.13

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Half scale
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Double scale
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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.